Question

Write a polynomial function in standard form with zeros at -7, 0, and 1

a x(x+7)(x-1)
b x(x-7)(x+1)
c x^3+6x^2-7x
d x^3-6x^2-7x

Answer 1

C.
`x^3+6x^2-7x`

Explanation:

The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.

x = -7 comes from x+7

x = 0 comes from x

x = 1 comes from x-1

The factored form is x(x+7)(x-1). Find the factored form by multiplying.

`x(x+7)(x-1)\\(x^2+7x)(x-1)\\x^3+7x^2-x^2-7x\\x^3+6x^2-7x`