Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x-c)(quotient). f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6 Yes; f(x) = (x + 6)(x³ + x-3) No Yes; f(x) = (x+6)(x³ + 5x - 3) Yes; f(x) = (x-6)(x³ + 5x + 3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form,
that is, write f in the form f(x) = (x-c)(quotient).
f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6
Yes; f(x) = (x + 6)(x³ + x - 3)
No
Yes; f(x) = (x + 6)(x³ + 5x - 3)
Yes; f(x) = (x-6)(x³ + 5x + 3)
Transcribed Image Text:Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x-c)(quotient). f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6 Yes; f(x) = (x + 6)(x³ + x - 3) No Yes; f(x) = (x + 6)(x³ + 5x - 3) Yes; f(x) = (x-6)(x³ + 5x + 3)
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