Factor f (x) = 3x³+5x²-47x+15 into linear factors given that - 5 is a zero of f (x)

Question

Mathematics

Celeste Collins

31 January, 04:41

Factor f (x) = 3x³+5x²-47x+15 into linear factors given that - 5 is a zero of f (x)

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Answers (1)

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Jewel Bond · Answer 1

If - 5 is a zero then f (x) is divisible by (x + 5)

the quotient when F*x) is divided by x + 5 is : -

3x^2 - 10x + 3

this factors to

(3x - 1) (x - 3)

so the answer is (x + 5) (3x - 1) (x - 3)