SOLUTION: Determine if x+3 is a factor of {{{-3x^3+6x^2+6x+9}}}. How do you know? A) No, because the remainder is 126. B) Yes, because the remainder is 126. C) Yes, because the rema

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine if x+3 is a factor of {{{-3x^3+6x^2+6x+9}}}. How do you know? A) No, because the remainder is 126. B) Yes, because the remainder is 126. C) Yes, because the rema      Log On


   

Question 1119038: Determine if x+3 is a factor of -3x%5E3%2B6x%5E2%2B6x%2B9. How do you know?
A) No, because the remainder is 126.
B) Yes, because the remainder is 126.
C) Yes, because the remainder is -108.
D) No, because the remainder is -108.
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
... How do you know?
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What does synthetic division give you? Remainder or not? If it gives a remainder, then this is the value of the function at x=-3.



---
-3   |    -3    6    6    9
     |          9  -45  117
     |_________________________
          -3   15  -39   126

The remainder is 126, and this is not 0.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the remainder is <> 0, it's not a factor.