Question

Hallie subtracted a quantity from the polynomial 3y^2 + 8y - 16 and produced the expression (y + 2)(y - 2). What quantity did Hallie subtract? Explain how you got your answer.

Answer 1

(y+2)(y-2)=y²-4


3y²+8y-16-?=y²-14
add ? to both sides
3y²+8y-16=y²-14+?
minus y² both sides and add 14
2y²+8y-2

the quantity was 2y²+8y-2

Answer 2

Hallie subtracted (2y²+ 8y - 12) from (3y²+ 8y - 16) as per quadratic equation.

What is a quadratic equation?

"A quadratic equation is an equation in which the highest power of the variable is always 2.

Given polynomial is 3y²+ 8y - 16.

Let, Hailie substracted 'A' from the given polynomial and got result of

(y + 2)(y - 2).

Therefore, 3y²+ 8y - 16 - A = (y + 2)(y - 2)

⇒ A = 3y²+ 8y - 16 - (y + 2)(y - 2)

⇒ A = 3y²+ 8y - 16 - (y² - 4)

⇒ A = 2y²+ 8y - 12

Learn more about a quadratic equation here: https://brainly.com/question/11661597

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