Write a polynomial function in standard form with zeros at −3, −1, and 1.

f(x) = (x + 3)(x + 1)(x − 1)

f(x) = x^3 + 3x^2 − x − 3

f(x) = x^3 − 3x^2 − x + 3

f(x) = (x − 3)(x − 1)(x + 1)

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

We expand the last two factors using difference of two squares.

This is the standard form because it is now in decreasing powers of x.

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step-by-step explanation:

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