Factorize: q2 – 10q + 21 – InterviewSolution

1.	Factorize: q2 – 10q + 21
Answer» Given, q² – 10q + 21 Now first find the numbers whose Sum = - 10 and Product = 21 Required numbers are 7 and 3, So we get; q² – 10q + 21 = q² – 7q – 3q + 21 = q(q – 7) – 3(q – 7) = (q – 7)(q – 3)

Factorize: q2 – 10q + 21

Answer»

Given,

q² – 10q + 21

Now first find the numbers whose

Sum = - 10 and

Product = 21

Required numbers are 7 and 3,

So we get;

q² – 10q + 21

= q² – 7q – 3q + 21

= q(q – 7) – 3(q – 7)

= (q – 7)(q – 3)