Respuesta :

SOLUTION

Write out the expression

[tex]2x^2-18x+36[/tex]

Bring out the common factor amoung the three terms

[tex]2(x^2-9x+18)[/tex]

Then, factor the expression in the paranthesis

[tex]\begin{gathered} 2(x^2-6x-3x+18) \\ 2(x(x-6)-3(x-6)) \\ \end{gathered}[/tex]

Hence

[tex]2(x-3)(x-6)[/tex]

Therefore

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