Question

If the solutions to a polynomial equation are -5, 0, and 1, which of the following could be the expanded form of the polynomial equation

Answer 1

The polynomial would be f(x) = x^3 + 4x^2 - 5x

Explanation:

In order to find this, start with the equations that x is equal to each of the solutions. Then solve each of those expressions for 0.

-5 = x

0 = x + 5

1 = x

0 = x - 1

0 = x

Now put each of the terms that you have in parenthesis and multiply them all together.

f(x) = (x)(x + 5)(x - 1)

f(x) = (x)(x^2 + 4x - 5)

f(x) = x^3 + 4x^2 - 5x