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your work is good-4 x^3 + 5 x^2 + 8 = (-4 x^2 + 17 x - 51)(x + 3) + 161so, the remainder of that division is 161, which means (x + 3) is not a factor
your work is good
-4 x^3 + 5 x^2 + 8 = (-4 x^2 + 17 x - 51)(x + 3) + 161
so, the remainder of that division is 161, which means (x + 3) is not a factor