Q8 of 188 Page 7

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

4x2 – 12x + 5

We have,


4x2 – 12x + 5 = 4 (x2 – 3x + )


= 4 [x2 – 3x + ()2 – ()2 + )] [Therefore, adding and subtracting ()2]


= 4 [(x - )2 – 12] (Therefore, completing the square)


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