Question
Factor the trinomial 8x^2+67x-45
Answers
GPT 3.5
To factor the trinomial 8x^2 + 67x - 45, we need to find two numbers that multiply to 8*-45 = -360 and add up to 67.
The two numbers that satisfy these conditions are 72 and -5.
So, we can rewrite the trinomial as:
8x^2 + 72x - 5x - 45
= 8x(x + 9) - 5(x + 9)
= (8x - 5)(x + 9)
Therefore, the factored form of the trinomial is (8x - 5)(x + 9).
The two numbers that satisfy these conditions are 72 and -5.
So, we can rewrite the trinomial as:
8x^2 + 72x - 5x - 45
= 8x(x + 9) - 5(x + 9)
= (8x - 5)(x + 9)
Therefore, the factored form of the trinomial is (8x - 5)(x + 9).