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Question

x2+5x−24 can be factorized as .

A
(x+3)(x+8)
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B
(x3)(x8)
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C
(x3)(x+8)
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D
(x+3)(x8)
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Solution

The correct option is C (x3)(x+8)
In order to factorize x2+5x24, we need to split the middle term 5x such that the sum or difference is 5 and product is -24.
Hence 5x is split as 3x and 8x.
x23x+8x24
x(x3)+8(x3)
Taking out (x3) common,
x2+5x24 = (x3)(x+8).

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