Use the rational zeros theorem to write a list of all potential rational zeros.

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

  {±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24}

Step-by-step explanation:

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

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.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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step-by-step explanation: