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Question

2x2 - 11x + 15 when factorised gives _________.


A

(2x + 5)(x + 6)

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B

(x + 5)(x + 6)

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C

(x - 5)(x - 6)

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D

(x - 3)(2x - 5)

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Solution

The correct option is D

(x - 3)(2x - 5)


Splitting the middle term of the given expression such that the sum is -11 and product is 30, we get


Hence, (x - 3) and (2x - 5) are the factors of 2x2 - 11x + 15.


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