Question

Amir subtracted a quantity from the polynomial 3x² + 8x - 16 and produced the expression x^2- 4. What quantity did Amir subtract? Explain how
you got your answer.

Answer 1

Answer:

$2x^2+ 8x -12$

Step-by-step explanation:

Given

$P = 3x^2 + 8x - 16$

$Result = x^2 - 4$

Required

The quantity subtracted

Let the subtracted quantity be Q. So, we have:

$P - Q = Result$

$3x^2 + 8x - 16 - Q = x^2 - 4$

Collect like terms

$Q = 3x^2 - x^2+ 8x - 16 + 4$

$Q = 2x^2+ 8x -12$

The quantity subtracted is: $2x^2+ 8x -12$