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Question

While factorizing x2 - 5x + 6, the middle term can be split as the sum of ____________.


A

-2, -3

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B

-2, 3

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C

2, -3

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D

2, 3

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Solution

The correct option is A

-2, -3


x2 - 5x + 6 = x2 - 3x - 2x + 6

The middle term should be split in such a way that the sum is equal to the middle term and product is equal to the last term.
Here the middle term is -5 and the last term is +6.
Hence it can be split as -3 and -2 ; where we have (-3 - 2 = -5) and (-3) (-2) = 6

Hence -2, -3


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