Algebra-2

To find the polynomial in standard form given the zeros x = 2, x = -3, and x = 1, we will start with the factored form and expand it.

Given Zeros:

1.x = 2 corresponds to the factor (x - 2)

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

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

Polynomial in Factored Form:

The polynomial can be expressed as:

f(x) = (x - 2)(x + 3)(x - 1)

Expanding the Polynomial:

First, expand (x - 2)(x + 3):

Now, multiply this result by (x - 1):

Click "Show Answer" to reveal the answer and analysis