Question

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

Answer 1

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)