Question

Completely factor the trinomial, if possible.2x^2-18x+36

Answer 1

SOLUTION

Write out the expression

$2x^2-18x+36$

Bring out the common factor amoung the three terms

$2(x^2-9x+18)$

Then, factor the expression in the paranthesis

$\begin{gathered} 2(x^2-6x-3x+18) \\ 2(x(x-6)-3(x-6)) \\ \end{gathered}$

Hence

$2(x-3)(x-6)$

Therefore

The factored form of the trinomial is 2(x-3)(x-6)