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Which of the binomials below is a factor of this trinomial?x2 + 6x - 40A.x2 + 10B.x - 4C.x + 6D.x - 6SUBMITarrow_backPREVIOUS

Question

Which of the binomials below is a factor of this trinomial?x2 + 6x - 40A.x2 + 10B.x - 4C.x + 6D.x - 6SUBMITarrow_backPREVIOUS

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Solution

The first step to solve this problem is to factor the trinomial x^2 + 6x - 40.

Factoring a trinomial involves finding two numbers that add up to the coefficient of the middle term (which is 6 in this case) and multiply to the constant term (which is -40 in this case).

The two numbers that satisfy these conditions are 10 and -4 because 10 + (-4) = 6 and 10 * (-4) = -40.

Therefore, the trinomial x^2 + 6x - 40 can be factored as (x - 4)(x + 10).

Comparing this with the given options, we can see that the binomial x - 4 (Option B) is a factor of the trinomial x^2 + 6x - 40.

This problem has been solved

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