determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do u know

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08-08-2016
Mathematics

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determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do u know

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-08-16T18:08:15-04:00

nobillionaireNobley nobillionaireNobley

16-08-2016

By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.

Therefore, x + 3 is not a factor of the given function

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