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Question

Factorize the following
18x2−x−4

A
(9x+4)(2x1)
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B
(9x4)(2x1)
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C
(9x+4)(2x+1)
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D
None of these
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Solution

The correct option is D (9x+4)(2x1)
Given,
18x2x4

9+8=1.................the split for the middle term

4×18=9×8=72.............the product of the coefficient of the first and last term

Now, splitting the middle term we get
=18x29x+8x4
=9x(2x1)+4(2x1)

=(2x1)(9x+4)

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