Q3 of 188 Page 7

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

4y2 + 12y + 5

We have 4y2 + 12y + 5 = 4 (y2 + 3y + ) [Therefore, coefficient of y2 = 1]


= 4 [y2 + 3y + ()2 – ()2 + ]


= 4 [(y + )2 – 12] (Completing the square)


= 4 (y + + 1) (y + – 1)


= (2y + 5) (2y + 1)


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