Question

The sum of −15x2 −5x + 11 and another polynomial expression is −9x2 + 3x −10. What is the other polynomial expression?

A) 24x2 + 8x − 8


B) 6x2 + 8x − 21
C) − 24x2 + 8x + 8
D) − 24x2 + 8x − 8

Answer 1

B

Explanation:

To find the missing term, subtract the given term from the sum.

(−9x2 + 3x −10)−(−15x2 −5x + 11)

−9x2 + 3x −10 + 15x2 + 5x − 11

6x2 + 8x − 21

Answer 2

`-15x^2-5x+11+P(x)=-9x^2+3x-10\\\\P(x)=-9x^2+3x-10+15x^2+5x-11\\\\P(x)=-9x^2+15x^2+3x+5x-10-11\\\\\boxed{P(x)=6x^2+8x-21}`

Answer B)