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17 votes
17 votes
Find the sum and enter it in the box below. Enter your answer as a polynomialin descending order, and use the caret (1) for exponents. For example, youwould write 4x2 as 4x2.

Find the sum and enter it in the box below. Enter your answer as a polynomialin descending-example-1
User Awd
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1 Answer

13 votes
13 votes

-5x^5 - 3x^2 - 4x + 7

Step-by-step explanation:

To add the polynomial, we would collect like terms:

For constant = + 3 + (+4)

Multiplication of same sign gives positive number

3 + 4 = + 7

For x:

-2x + (-2x)

Multiplication of opposite signs give negative number.

= -2x - 2x = -4x

For x^2:

-4x^2 + (+x^2) = -4x^2 + x^2

= -3x^2

for x^3:

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

Multiplication of opposite signs give negative number.

= 5x^3 - 5x^3

= 0

we have only 1 term for x^5:

-5x^5 + 0 = -5x^5

combining the term together:

+7 - 4x - 3x^2 + 0 - 5x^5

= 7 - 4x - 3x^2 - 5x^5

In descending order:

-5x^5 - 3x^2 - 4x + 7

User Monet
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