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.

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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.