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Which of the binomials below is a factor of this trinomial?x2 - 5x - 36A.x - 7B.x2 + 7C.x - 4D.x + 4SUBMITarrow_backPREVIOUS

Question

Which of the binomials below is a factor of this trinomial?x2 - 5x - 36A.x - 7B.x2 + 7C.x - 4D.x + 4SUBMITarrow_backPREVIOUS

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Solution

To find the factors of the trinomial x² - 5x - 36, we need to find two numbers that multiply to -36 and add to -5.

The numbers that satisfy these conditions are -9 and 4 because -9 * 4 = -36 and -9 + 4 = -5.

Therefore, the factors of the trinomial are (x - 9) and (x + 4).

Looking at the options given, the binomial (x + 4) is a factor of the trinomial x² - 5x - 36.

So, the correct answer is D. x + 4.

This problem has been solved

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