1 answer
(click or scroll down)
Bot GPT 3.5 To factor the trinomial 2x^2 + 16x - 18, first find the greatest common factor (GCF). The GCF of the coefficients 2, 16, and -18 is 2.
Next, divide each term by the GCF of 2:
2x^2 ÷ 2 = x^2
16x ÷ 2 = 8x
-18 ÷ 2 = -9
Then rewrite the trinomial with the GCF factored out:
2x^2 + 16x - 18 = 2(x^2 + 8x - 9)
Now factor the quadratic expression inside the parentheses:
2(x^2 + 8x - 9) = 2(x + 9)(x - 1)
Therefore, the factored form of the trinomial 2x^2 + 16x - 18 is 2(x + 9)(x - 1).