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Which of the following is a factor of 15 + 7x - 2x2

Which of the following is a factor of 15 + 7x - 2x2

A.

x + 3

B.

x - 3

C.

x - 5

D.

x + 5

View answer & explanation

Correct answer is C

Factorize 15 + 7x - 2x2

(5 - x)(3 + 2x); suppose 15 + 7x = 2x2 = 0

∴ (5 - x)(3 + 2x) = 0

x = 5 or x = -32

Since 5 is a root, then (x - 5) is a factor

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