Q2 of 188 Page 7

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

q2 – 10q + 21 Coefficient of q2 is 1 so we add and subtract square of half of coefficient of q

Therefore,


q2 – 10q + 21 = q2 – 10q+ 52 – 52 + 21 (Adding and subtracting 52)


= (q – 5)2 – 22 (By completing the square)


= (q – 5 – 2) (q – 5 + 2)


= (q – 7) (q – 3)


More from this chapter

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19

Resolve each of the following quadratic trinomials into factors:

 1

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

 3

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

 4

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