Factor the trinomial completely:
2x^2-18x+36
To factor the trinomial completely, we can first look for the greatest common factor (GCF) among the terms. In this case, the GCF is 2:
2(x^2 - 9x + 18)
Next, we need to factor the trinomial inside the parentheses. One way to do this is to look for two numbers that multiply to give 18 and add up to -9. The numbers -6 and -3 fit this criteria:
2(x - 6)(x - 3)
Therefore, the trinomial 2x^2 - 18x + 36 can be factored completely as 2(x - 6)(x - 3).