Question

The volume v in cubic feet of a shipping box is modeled by the polynomial function V(x)=x^3-2x^2-19x+20, where X is the length of the box. Explain how you know X equals -2 is not zero

Answer 1

Explanation:

The volume v in cubic feet of a shipping box is modeled by the polynomial function V(x)=x^3-2x^2-19x+20, where X is the length of the box. To determine if x = - 2 is not a zero of the polynomial function, we would substitute x = - 2 into the polynomial function, V(x)=x^3-2x^2-19x+20. If the result is not zero, it means that x = - 2 not a zero of the polynomial function. Therefore

(-2)^3-2(-2)^2-19(-2)+20

= - 8 - 8 + 38 + 20 = 42

Since 42 is not equal to 0, then x = - 2 not a zero of the polynomial function.