Factor completely.
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A) x(x - 7)(x + 6)
B) x(x + 7)(x - 6)
D) x(x - 7)(x - 6)

Question

Factor completely.
-
A) x(x - 7)(x + 6) 
B) x(x + 7)(x - 6) 
D) x(x - 7)(x - 6)

Quizplus · Accepted Answer

The given expression is a trinomial with three terms. We can see that the coefficients of the first and last term are positive, while the coefficient of the middle term is negative. This indicates that the signs of the factors will alternate. We can also see that the absolute values of the coefficients are all equal to 1. This suggests that the factors will involve the integer factors of the constant term, which is 11*7*-6 = -462. The only option that satisfies these conditions is (D) x(x-7)(x-6). We can check that this is correct by multiplying the factors. The expression can be factored as x(x^2-1x-42), which can then be further factored as x(x-7)(x+6). Therefore, the best choice is D.

Factor Completely. -