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Question

Factorise 2x2+11x+15


A

(x5)(2x3)

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B

(x+3)(2x+5)

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C

(x+5)(2x3)

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D

(x5)(2x+3)

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Solution

The correct option is B

(x+3)(2x+5)


2x2+11x+15
= 2x2+6x+5x+15
(Since 15 x 2= 30, it can be split as (6 )+(5) = 11 and 6 x 5=30 )
= (2x(x+3)+5(x+3)
= (x+3)(2x+5)


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