Show all work to factor x4 − 10x2 + 9 completely.

Answers

Answer 1

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

Answer 2

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a² - b² =(a+b)(a−b)  where a=x and  b=3.

(x+3)(x-3)(x+1)(x-1)


Related Questions

PLEAASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEE PLEASEEEEEE HELPPPPPPPPPP​

Answers

Answer:

the awnser is 124 YW:)

Step-by-step explanation:

62x2=124

Answer:

124 / C

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.  We know that angle k is 62, angle J is 90, that adds to 152.  180-152 gives us the third angle of the triangle as 28.  Assuming that the two triangles are similar, the angle opposite of the 28 degree is also 28 degrees.  The angles on the line should also add up to 180 degrees.  So 180 - 28 - 28 = 124.

HElP PLSSSSS I will Give Brainlyest
I suck at math its easy

Answers

Answer:

| 1/3 -  -4/3|

Step-by-step explanation:

To find the distance, use absolute value for the most right point minus the left point

| 1/3 -  -4/3|

Answer:

Both

Step-by-step explanation:

The distance between them is 1. Both of the equations equal 1.

Hope that this helps!

NO LINKS NO FILES!!!! Please.

Answers

Answer:

N

Step-by-step explanation:

the first 3 is the x value, or the horizontal line value, and the second 3 is the y value, or the vertical line value.

B. N is the right answer as it is located on 3, 3

1. The exterior angles of a triangle are 3yº, 4yº
and 5y. Find y. What are the interior angles of
the triangle?​

Answers

Answer:

Step-by-step explanation:

3y+4y+5y=180 degree(sum of exterior angles of a triangle is 360 degree)

12y=360

y=360/12

y=30 degree

Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inches long should each shelf be?



If x represents the length of the shortest shelf, which expression would represent the length of the longest shelf?

x + 6
x + 4
x + 3

Answers

Answer:

x+6

Step-by-step explanation:

The value of x is 12. Therefore, the shelves are 12, 14, 16, and 18 inches long. The longest shelf is x + 6.

Answer:

x+6

Step-by-step explanation:

The value of x is 12. Therefore, the shelves are 12, 14, 16, and 18 inches long. The longest shelf is x + 6.

Write 7.9 × 10^6 in standard form​

Answers

Answer:

0.0000079 i think

Step-by-step explanation:

because it is or its 7900000 if its not a negitive

PLEASE HELP!!! So the answer I got was 19.14 however that is not the correct answer. How do I solve this problem. Not sure what else to do.

Answers

Check the picture below.

so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.

[tex]\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill[/tex]

A barber shop was charging $4.15 for a bottle of shampoo but raised the price 23%. The new price after the increase is $5.10.
Enter an expression to show how the new price was calculate

Answers

Answer:4.15 divde by 23%

Step-by-step explanation:

What is 15% of 35 ???

Answers

Answer:

5.25 Percent

Step-by-step explanation:

Hope this helps sry if i'm wrong

Answer:

5.25

Step-by-step explanation:

to find the percentage, take 35 and multiply it by 0.15, or 15%.

35×0.15=5.25

What is the explicit formula of the geometric sequence? 5,-15,45,-135

Answers

Answer:

Tn=a(-3)^(n-1)

where a is first term and n is number of terms

Step-by-step explanation:

r=-3

The sum of two whole numbers is 84, and their positive difference is 18.What are the two numbers? Please help

Answers

Answer:

Step-by-step explanation:

Answer:

51 and 33

Step-by-step explanation:

let X and Y be the two numbers.

X +Y=84

X-Y=18 solve simultaneously

what is cardinal number of set when A={2,4,6,8}​

Answers

Answer:

4

Step-by-step explanation:

The Cardinal number of a set can be explained as the number of distinct element in a finite set :

Given the set :

A = (1,2,3,4)

The number of distinct element in the set is :

4, hence, the Cardinal number of the set is 4

pls help me with this answer ​

Answers

Answer:

D

Step-by-step explanation:

Closed circle is used for inequalities with a line under it.

Open circle is for regular inequalities

Answer:

d

Step-by-step explanation:

closed circle means greater than or equal to and we know its going up from 23

Dante and Mia have 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?

Answers

Answer:

In total they both lost 150 pennies.

Step-by-step explanation:

Since Dante and Mia have 350 pennies in their piggy banks, altogether, and after Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left, to determine how many pennies did they lose altogether the following calculation must be performed:

350 = 200 + 150

200 - (200/2) = 200 - 100 = 100

150 - (150/3) = 150 - 50 = 100

Therefore, in total they both lost 150 pennies.

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
0.28 to 0.40

Answers

Answer:

7/10

Step-by-step explanation:

0.28/0.40

You should enter this problem into the calculator directly as written. You should get:

0.7

0.7 can also be written as 70/100.

In simplest form, the final answer is:

7/10

Adrianna's bedroom has a perimeter of 14 meters. The width is 3 meters.
What is the length of her room?

Answers

Answer:

Adrianna's bedroom has a perimeter of 14 m/s. The width is 3 meters. What is the length of her room?

The answer is 4 meter (s)

Step-by-step explanation:

Hope the picture helps

The length of her room is 4 meters.

What is the perimeter of the room?

The formula for the perimeter of a rectangle is (width + height) x 2.

Adrianna's bedroom has a perimeter of 14 meters.

The width is 3 meters.

Let, the length of her room be x.

The length of her room is;

[tex]\rm Perimeter \ of \ room =2 (Length +Width)\\\\14 =2(x + 3)\\\\14 = 14=2x+6\\\\2x=14-6\\\\2x=8\\\\x=\dfrac{8}{2}\\\\x=4[/tex]

Hence, the length of her room is 4 meters.

Learn more about perimeter here;

https://brainly.com/question/10945296

#SPJ2

How do I do this and what’s the answer ?

Answers

Answer:

(-[tex]\frac{1}{2}[/tex])^−3

Step-by-step explanation:

=(−1/2)^−3

=1/((−1/2)*(−1/2)*(−1/2))

=8/-1

What is the volume of the figure below in cubic meters

756
936
1008
1080

Answers

1080 is correct hope this helps.

the table represents a linear function. what is the slope of the function?

Answers

Answer:

-4

Step-by-step explanation:

Pick any two points and use the slope function

m = (y2-y1)/(x2-x1)

m = ( -26 - -2)/(2 - -4)

    = (-26+2)/(2+4)

    - 24/6

  - 4

Answer:

[tex]\displaystyle m = -4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-4, -2)

Point (-2, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-10- -2}{-2- -4}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{-8}{2}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = -4[/tex]

In how many ways the letter of the word 'Nawalpur' be arranged in which no tow A's come together.​

Answers

Answer:

below

Step-by-step explanation:

(8! - 7!)

= 35280

that is the procedure above

Find the measure of each acute angle

Answers

Answer:

x = 18

Step-by-step explanation:

The sum of interior angles in a triangle = 180 degrees

The given is a right triangle which means one of the angle is = 90

so the sum of 3x + 2x = 90

5x = 90 divide both sides by 5

x = 18 to find the measure of angles replace x with 18

The mean temperature for the first 7 days in January was 3 °C.
The temperature on the 8th day was 7 °C.
What is the mean temperature for the first 8 days in January?

Answers

Answer:

3.5 °C

Step-by-step explanation:

To find the answer multiply 3 and 7 to get the sum of the temperatures in the first seven days.

        3 x 7 = 21

Add 21 and 8 together to get the sum of the temperatures in the first 8 days.

        21 + 8 =29

Divide 29 by 8 to get the mean temperature for the first eight days.

       29 ÷ 8 = 3.5

       3.5 °C

Answer:

3.5 C is the mean temperature for the first 8 days in January.

solve the following system of equations using substitution:

y=8
y=-4x+4​

Answers

Answer:

x = -1

y = 8

Step-by-step explanation:

8 = -4x + 4

4 = -4x

x = -1

Answer:

x = -1

y = 8

Step-by-step explanation:

8 = -4x + 4

4 = -4x

x = -1

Hope this answer helps you :)

Have a great day .

Mark brainliest

Can someone please help me with and explain this?

Answers

Answer:

A

Step-by-step explanation:

Point R is (1, 5).

The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.

Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:

[tex]R'=((1)+1, (5) -1)=(2, 4)[/tex]

Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:

[tex]R'=(3(2), 3(4))=(6, 12)[/tex]

Our answer is A.

help please !!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.

We also have XS ≅ TP. By the addition property of equality, this means ...

  XS +ST ≅ ST +TP

By the segment sum theorem, this means ...

  XT ≅ SP

XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.

5. Today, everything at a store is on sale. The store offers a 20% discount.

a. The regular price of a T-shirt is $18. What is the discount price?

b. If the regular price of an item is x dollars, what is the discount price in dollars?

C. The discount price of a hat is $18. What is the regular price?

Answers

Answer:

Step-by-step explanation:

20% = 20/100 = 0.2

The amount you need to pay for a T shirt is

Cost = original amount(100% - 20%)

Original amount = 18

100% - 20% = 80%

80% = 80 / 100 = 0.8

What this means is that you will pay 80% of  the original cost.

Cost = 18*0.8

Cost = $14.40

Part B

Cost = 0.8 * x

Part C

Selling price = 0.8*Original Cost

Selling price = 18

18 = 0.8 * x

18/0.8 = x

x = 22.5

The original price was $22.50

Helppppppppppppppppp

Answers

If the slope is given then all is left is y-intercept which is equal to -3 which is also given in the question from the point (-4,-3), then your equation would be complete if you have these two so I think the answer is y=3/4x-3 and I’m really sorry if my answer is wrong but i tried my best and good luck!!

URGENT!!!!!
What is the value is x?
A. 5.375
B. 5.5
C. 11
D. 13

Answers

Answer:

value of x is B 5.5

Step-by-step explanation:

B 5.5 value of X

Answer:

b 5.5

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3​

Answers

Answer:

-x^2+2x-3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

-x^2+2x-3

Answer:

The fourth answer

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3

The fourth answer

Surface area of rectangular prism length 6 in., width 5 in., height 12 in.

Answers

The surface area is 324

Answer:

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for surface area of a rectangular prism is this :

A = 2(wl + hl + hw)

l = 6, w = 5, h = 12.

Now knowing these values, we can solve for A.

A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

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