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

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

User Raymond Berg
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1 Answer

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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
User DorBB
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