Question

Use the Rational Zeros Theorem to write a list of all potential rational zeros. (5 points)

Answer 1

So the Rational Zeros Theorem states that the potential zeros are ± P/Q, with P = factors of the constant and Q = factors of the leading coefficient.

In this case, the constant is -3 and the leading coefficient is 2.

• P = 1,3
• Q = 1,2

With P and Q established, divide them all as such:

$\pm \frac{1}{1}, \pm \frac{3}{1}, \pm \frac{1}{2}, \pm \frac{3}{2}\\\\\pm 1,\pm 3, \pm \frac{1}{2}, \pm \frac{3}{2}$

In short, your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.

Answer 2

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