Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms

X^4+18x^2+81=( )^2+2( )x^2+ ( )^4

Answers

Answer 1

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2

Answer 2

The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x⁴ + 18x² + 81

Let u = x²

[tex]\rm =u^2+18u+81[/tex]

or

= (x²)² + 2(9)x² + (3²)²

= (u + 9)²

= (x² + 9)²  or

= (x² + 9)(x² + 9)

Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

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Related Questions

How much will the taxi driver earn if he takes one passenger 4.8 miles and another passenger 7.3 miles? Explain your process.

Answers

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form. ​

Answers

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Please Help!! 10 points! Brainliest answer

Answers

Answer:

Its letter B

Step-by-step explanation:

During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days

Answers

Answer:

Option B (second one to the right)

Step-by-step explanation:

Solving this equation:

-1/2(30)= -15

-1/2 x 30 = -15

(2 days = 1 inch lost)

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answers

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Due tonight
Please help!!!!!​

Answers

angle BGC and angle BAD

please help me answer this i need asap

Answers

Answer:24 xexponet 3 − 5

Step-by-step explanation:

(1/4)^-3/2. The topic is indices.

Answers

Answer:

8

Step-by-step explanation:

The minus turns the base upside down

(1/4)^-3/2 = 4^(3/2)

The square root of 4 is 2

2^3 = 8

So the answer is 8.

What are the steps to solving this limit?

Answers

Answer:

lim(x---->0) = -5

Step-by-step explanation:

first: sin(x-π/2)= -cosx

so the equation will be :

lim(x---->0) = [-6cos(ax)-1}/cosx

solve :

lim(x---->0) =  [-(6cos(a(0))-1}/cos(0)

cos0=1

lim(x---->0)=(-(6(1)-1)/1

lim(x---->0)=-6+1/1

lim(x---->0)=-5

PLEASE HELP WILL GIVE BRAINLIEST -

A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?

Answers

the answer would be DF

The line segment congruent to line HF will be  DF. The correct option is C.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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Explain why 20 + (-12) + 12 is the same as 20 + 0??

Answers

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

-12 and 12 result in the number zero just like the second problem. Hope that makes sense :)

Find the product of (x + 5)(x − 5).

Answers

Answer:

x² - 30 + 5x

Step-by-step explanation:

(x + 5)(x − 5)

=x(x − 5)+5(x − 5)

=x² - 5 + 5x - 25

=x² - 30 + 5x

what is the solution to the equation:
4/3 times 2/3​

Answers

Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

Solve for x in simplest form. 9=8/5(x+5) ​

Answers

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5) ​

Multiply each side by 5

5* 9=5*8/5(x+5) ​

45 = 8(x+5)

Distribute

45 = 8x+40

Subtract 40 from each side

45-40 = 8x+40-40

5 = 8x

Divide each side by 8

5/8 = 8x/8

5/8 =x

Which function below is the inverse of f(x)= 3x+5/7

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

~AnonymousHelper1807

In “The Raven and the First Men: The Beginnings of the Haida,” which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?

Answers

Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.

What is the measure of AC? A. 5 units B. 13 units C. 26 units D. 39 units

Answers

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

What is quadrilateral?

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

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Evaluate 2x + xy + 2-3 for x=-9, y=-5, and
z=-3.

Answers

Hi! Keep in mind there is no z in the equation so the question might trick you!

The answer is 26

Here is the process:

1. Replace the variables with the numbers they gave you.

2(-9)+ (-9)(-5)+ 2-3

2. Next evaluate it. I got 45 because a negative multiplied by a negative makes a positive.

* PEMDAS states you addition and then subtraction but it could vary based on the equation.

In this equation you have to do addition first.

-18+ 45+2-3

27+2-3

29-3

26

I hope this helps! Have a great day :)

A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?

–3
–2
2
3

Answers

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:


a) Another name for Plane P is:

Answers

Answer: “ACB”

Step-by-step explanation: I took the quiz/test

Dan's brother is three less than twice his age. Which expression shows his brother's age?

Answers

D=2x-3,
D means Dan and A means Age.
Hope this helps :)

Polynomials: I’ll give brainliest. What is the perimeter of this?

Answers

Answer:

2(5x - 4)

Step-by-step explanation:

Perimeter formula

P = 2l + 2w

P = 2(3x - 5) + 2(2x + 1)

= 6x - 10 + 4x + 2

= 10x - 8

= 2(5x - 4)

Find the midpoint of points A(8,6) and B(0, 3)

Answers

Answer:

Midpoint = (4,4.5) or written as fraction (4,[tex]\frac{9}{2}[/tex])

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{8+0}{2}),(\frac{6+3}{2} ) \\MP= (\frac{8}{2}),(\frac{9}{2} ) \\MP= (4,4.5)[/tex]

Which answer is the simplified version of this : 5 exponent 3 x 25

Answers

Answer:

3,125

Step-by-step explanation:

[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]

answer this equation-3x+2<8

Answers

Answer:

x > -2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8-2

-3x<6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x > -2

Hey there!☺

[tex]Answer:\boxed{x>-2}[/tex]

[tex]Explanation:[/tex]

[tex]-3x+2<8[/tex]

Let's subtract 2 from both sides of the inequality.

[tex]-3x+2-2<8-2\\-3x<6[/tex]

Now divide both sides by -3.

[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]

Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.

[tex]6/-3=-2[/tex]

[tex]x>-2[/tex]

Hope this helps!

A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water

Answers

Answer:

   down 7 1/4 feet

Step-by-step explanation:

4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4

The dolphin is 7 1/4 feet below the surface.

Answer:

Step-by-step explanation:

Least to greatest PLEASE IM STRUGGLING AS IS WITH THE COMPUTER

Answers

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

my handwriting is kinda bad sorry but i hope this helps :)

-3 - 3x = -4(2x + 7)

Answers

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

An ice cream truck drive truck driver made $23 in one hour. She the spent $35 for gas. What is the difference?

Answers

Answer:

$12

Step-by-step explanation:

Step 1:

$35 - $23

Answer:

$12

Hope This Helps :)

What is the value of s in the equation 3r= 10+5s when r = 10

Answers

Answer:

s = 4

Step-by-step explanation:

Given: 3r = 10+5s

Fill in r: 3(10) = 10 + 5s

Multiply: 30=10+5s

Subtract: 30-10=5s

Divide: 20/5=s

Answer: 4=s

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