Factorize each of the following quadratic polynomials by using the method of completing;
p2 + 6p – 16
Coefficient of p2 = 1
Therefore, we have
p2 + 6p + 32 – 32 – 16 (Adding and subtracting 32)
= (p + 3)2 – 52 (Completing the square)
= (p + 3 + 5) (p + 3 – 5)
= (p + 8) (p – 2)