Q. 65.0( 1 Vote )

# Factorize each of the following quadratic polynomials by using the method of completing;

Answer :

a^{2} – 14a – 51

Coefficient of a^{2} = 1

Therefore, we have

a^{2} – 14a – 51 = a^{2} – 14a + 7^{2} – 7^{2} – 51 (Therefore, adding and subtracting 7^{2})

= (a – 7)^{2} – 10^{2} (Completing the square)

= (a – 7 + 10) (9 – 7 – 10)

= (a + 3) (a – 17)

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