Q. 44.3( 3 Votes )

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


Answer :

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)


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