Q6 of 188 Page 7

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

a2 – 14a – 51

Coefficient of a2 = 1


Therefore, we have


a2 – 14a – 51 = a2 – 14a + 72 – 72 – 51 (Therefore, adding and subtracting 72)


= (a – 7)2 – 102 (Completing the square)


= (a – 7 + 10) (9 – 7 – 10)


= (a + 3) (a – 17)


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