Which of the binomials below is a factor of this trinomial?-2x2 - 16x + 40A.x - 10B.x + 5C.x + 10D.x - 5SUBMITarrow_backPREVIOUS
Question
Which of the binomials below is a factor of this trinomial?-2x2 - 16x + 40A.x - 10B.x + 5C.x + 10D.x - 5SUBMITarrow_backPREVIOUS
Solution
To find out which binomial is a factor of the trinomial -2x^2 - 16x + 40, we need to factor the trinomial.
First, we can take out a common factor of -2 from all terms:
-2(x^2 + 8x - 20)
Next, we need to factor the quadratic x^2 + 8x - 20. We are looking for two numbers that multiply to -20 and add to 8. The numbers 10 and -2 fit these criteria.
So, the factored form of the trinomial is:
-2(x - 10)(x + 2)
Comparing this with the given options, we can see that the binomial (x - 10) is a factor of the trinomial. So, the answer is A. x - 10.
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