The expression below is the factorization of what trinomial?-1(x - 6)(x + 8)A.-x2 - 2x + 48B.-x2 - 2x - 48C.-x2 + 2x + 48D.-x2 + 2x - 48SUBMITarrow_backPREVIOUS
Question
The expression below is the factorization of what trinomial?-1(x - 6)(x + 8)A.-x2 - 2x + 48B.-x2 - 2x - 48C.-x2 + 2x + 48D.-x2 + 2x - 48SUBMITarrow_backPREVIOUS
Solution
To find the trinomial, we need to expand the expression -1(x - 6)(x + 8).
First, distribute the x in the first parentheses to the terms in the second parentheses:
x * x = x^2 x * 8 = 8x -6 * x = -6x -6 * 8 = -48
So, (x - 6)(x + 8) = x^2 + 2x - 48
Then, multiply the entire expression by -1:
-1 * x^2 = -x^2 -1 * 2x = -2x -1 * -48 = 48
So, -1(x - 6)(x + 8) = -x^2 - 2x + 48
Therefore, the trinomial is -x^2 - 2x + 48, which corresponds to option A.
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