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)