Algebra-2

To find the polynomial in standard form given the zeros x = -1, x = 0, and x = 3, we will start with the factored form and expand it.

Given Zeros:

1.(x = -1) corresponds to the factor (x + 1)

2.(x = 0) corresponds to the factor (x)

3.(x = 3) corresponds to the factor (x - 3)

Polynomial in Factored Form:

The polynomial can be expressed as:

f(x) = (x + 1)(x)(x - 3)

Expanding the Polynomial:

First, expand (x + 1)(x):

Now multiply this result by (x - 3):

Distributing the terms: