Question

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

f(x) = 2x3 - 5x2 + 7x - 3

Answer 1

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This is my answer

Answer 2

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 (1)/(1), \pm (3)/(1), \pm (1)/(2), \pm (3)/(2)\\\\\pm 1,\pm 3, \pm (1)/(2), \pm (3)/(2)`

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