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Question

What is the factorization of 2x2−7x−15?


A

(x-3) (2x-5)

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B

(x-5) (2x+3)

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C

(x+3) (2x-5)

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D

(x+5) (2x-3)

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Solution

The correct option is B

(x-5) (2x+3)


Find two numbers such that their product is -30 and sum is -7.

P(x) = 2x27x15

= 2x210x+3x15

= 2x(x-5) + 3(x-5)

= (x-5) (2x+3)


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