Question

What is the additive inverse of the polynomial

–9xy2 + 6x2y – 5x3?

a) –9xy2 – 6x2y + 5x3
b) –9xy2 – 6x2y – 5x3
c) 9xy2 + 6x2y + 5x3
d) 9xy2 – 6x2y + 5x3

Answer 1

D

Explanation:

The opposite of a negative is a positive.

The opposite of a positive is a negative.

The opposite of -9xy2 is 9xy2, and only C and D have 9xy2.

The opposite of 6x2y is -6x2y, and only A, B, and D have -6x2y.

The opposite of -5x3 is 5x3 and only A, C, and D have 5x3.

Which one reoccurs? D.

Hence D is the answer.

Answer 2

The correct answer is option d) 9xy2 – 6x2y + 5x3

Explanation:

The additive inverse of a number x is -x

Here the polynomial is –9xy2 + 6x2y – 5x3

To find additive inverse of polynomial

Additive inverse of –9xy2 + 6x2y – 5x3 is -(–9xy2 + 6x2y – 5x3)

-(–9xy2 + 6x2y – 5x3) = -(-–9xy2) - 6x2y –(- 5x3)

= 9xy2 - 6x2y + 5x3

Therefore the correct answer is option d) 9xy2 – 6x2y + 5x3