Question

Factorise the following expression: $q^2-10q+21$

Answer 1

Factorise the given expression:

The given expression is,

$q^2-10q+21=q^2-3q-7q+21$

$=q(q-3)-7(q-3)$

$=(q-3)(q-7)$

Hence, the factors are $(q-3)$ and$(q-7)$.