(7+1)(8+2) splitting the middle term
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Step-by-step explanation:
Let p(x)=12x
2
−7x+1
Here we have to split middle term −7 into two parts such that their sum is −7 and product is 12×1=12
−4 and −3 are such numbers whose sum is −7 and product is 12
12x
2
−7x+1=12x
2
−4x−3x+1
=4x(3x−1)−1(3x−1)
=(3x−1)(4x−1)
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