SOLUTION: Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient) if f(x) = 4x 3

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Question 173097: Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient) if f(x) = 4x 3 - 3x 2 + 9 and c = 3.
Answer by stanbon(75887) (Show Source):
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Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient) if f(x) = 4x 3 - 3x 2 + 9 and c = 3.
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Use synthetic to get:
3)....4....-3....0....9
.......4.....9....27..|..90
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Quotient: 4x^2 + 9x + 27
Remainder 90
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f(x) = (x-3)(4x^2 + 9x + 27) + (90/(x-3)
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Cheers,
Stan H.

SOLUTION: Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient) if f(x) = 4x 3 - 3x 2 + 9 and c = 3.