Factor the expression 3a^2-12a+9

 Exercise

$3a^2-12a+9$

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Factor the polynomial $3a^2-12a+9$ by it's greatest common factor (GCF): $3$

$3\left(a^2-4a+3\right)$

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Factor the trinomial $\left(a^2-4a+3\right)$ finding two numbers that multiply to form $3$ and added form $-4$

$\begin{matrix}\left(-1\right)\left(-3\right)=3\\ \left(-1\right)+\left(-3\right)=-4\end{matrix}$

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Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

$3\left(a-1\right)\left(a-3\right)$

$3\left(a-1\right)\left(a-3\right)$

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