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Question

Factorize: x2−7x+12.


A
(x3)(x4)
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B
(x+3)(x4)
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C
(x3)(x+4)
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D
(x+3)(x+4)
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Solution

The correct option is A (x3)(x4)

We have to break up 7x in the given expression into two parts in such a way that their sum is 7x and the product of their coefficients is 12.
x27x+12
=x24x3x+12
=x(x4)3(x4)
=(x3)(x4)

Thus, x27x+12 can be factorised as (x3)(x4).


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