Factorize algebraic expressions: a2 – 14a – 51
We have,
a2 – 14a – 51
By considering, p+q = -14 and pq = -51
So we can replace -14a by 3a – 17a
-51 by -17 × 3
a2 – 14a – 51 = a2 + 3a – 17a – 51
= a (a + 3) – 17 (a + 3)
= (a – 17) (a + 3)
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