Question

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

Answer 1

Answer:

4x^2 + 8x - 20

Step-by-step explanation:

Amir subtracted a quantity

Let quantity = y

... from the polynomial 3x^2+8x−16

y - (3x^2+8x−16)

and produced the expression x^2−4

= x^2−4

What quantity did Amir subtract?

y - (3x^2+8x−16) = x^2−4

Solving for y;

y =  x^2−4 + (3x^2+8x−16)

y = x^2−4 + 3x^2+8x−16

y = 4x^2 + 8x - 20