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MakcuM [25]
3 years ago
11

Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6) Explain your steps!!

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24




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At 10 square yards, both of the prices would be at $180
4 0
3 years ago
If the length of a rectangle in terms of x is x^2+2x-3 and its width is 2x^2+3x+5, what is the perimeter of this rectangle?
AnnZ [28]

Step-by-step explanation:

perimeter=(L+W)2

L=x^2+2x-3

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

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

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3 0
3 years ago
Identify the reciprocal of each number. Type it in the blank, using a slash () to show a fraction,
amid [387]

Answer: 6/5

Step-by-step explanation:

When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.

In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.

To check our work, we need to multiply our original number and its reciprocal.

5/6 x 6/5 = 30/30 = 1

Now, we know we are correct, that the reciprocal of 5/6 is 6/5.

4 0
2 years ago
Solve the system of equations y=5x-1 y=9x-9
Leto [7]

Answer:

Look at the equations:

y

=

−

9

x

−

21

and

y

=

5

x

+

7

Because both equations equal (y), they both equal the same.

If an equations says "

y

=

−

9

x

−

21

" , that means we can replace (y) with

−

9

x

−

21

.

Therefore when i take the equation:

y

=

5

x

+

7

, we can replace (y) to get:

−

9

x

−

21

=

5

x

+

7

Now isolate (x):

−

9

x

−

21

=

5

x

+

7

⇔

−

21

=

14

x

+

7

⇔

−

28

=

14

x

⇔

x

=

−

2

7 0
2 years ago
Show work for 694 divided by 3
tatuchka [14]

Answer: 231.3 repeating!

Step-by-step explanation: I used the calculator

8 0
2 years ago
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