factor the basic trinomial:

Question

6x^2 - 66x + 60

Answer 1

To factor the trinomial 6x^2 - 66x + 60, we first look for common factors of all three terms. In this case, all terms are divisible by 6:

6x^2 - 66x + 60
= 6(x^2 - 11x + 10)

Next, we look for two numbers that multiply to the constant term (10) and add up to the coefficient of the x term (-11). These numbers are -10 and -1:

6(x - 10)(x - 1)

Therefore, the factored form of the trinomial 6x^2 - 66x + 60 is 6(x - 10)(x - 1).