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in Factorization by (36.4k points)
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Factorize each of the following algebraic expressions:

a2 - 14a - 51

1 Answer

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Best answer

In order to factorize the given expression, we find to find two numbers p and q such that:

p + q = -14, pq = -51
Clearly,
3 – 17 = -14, 3 (-17) = -51
Therefore, split 14a as 3a – 17a
Therefore,
a2 – 14a – 51 = a2 + 3a – 17a – 51

= a (a + 3) – 17 (a + 3)

= (a – 17) (a + 3)

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