Question

What are the factors of $q^2-10q+21$?

Answer 1

Find out the factors of the quadratic equation.

$$\begin{gathered} q^2-10q+21=0 \\ \Rightarrow q^2-7q-3q-21=0 \\ \Rightarrow q(q-7)-3(q-7)=0 \\ \Rightarrow (q-7)(q-3)=0 \end{gathered}$$

Hence, the factors of the given quadratic equation are $(q-7)(q-3)$.