Question

Use the Rational Zeros Theorem to write a list of all potential rational zeros.

f(x) = x3 - 10x2 + 9x - 24

Answer 1

{±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24}

Explanation:

Since the leading coefficient is 1, any rational zeros will be divisors of -24.

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Comment on rational zeros

If the leading coefficient is not one, then rational zeros will be the ratio of a divisor of 24 to a divisor of the leading coefficient.