SOLUTION: Could (x+9) be a factor of the polynomial function h(x)=3x^9-13x^6+7x-3. Why or why not

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Question 819367: Could (x+9) be a factor of the polynomial function
h(x)=3x^9-13x^6+7x-3. Why or why not
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Could (x+9) be a factor of the polynomial function
h(x)=3x^9-13x^6+7x-3. Why or why not
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Check to see -9 is a root of h(x); use synthetic division::
h(-9) = 3(-9)^9-13(-9)^6+7(-9)-3 is not zero.
So x+9 is not a factor of h(x)
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

Could (x+9) be a factor of the polynomial function

h(x)=3x^9-13x^6+7x-3.

  NO, h(-9)  ≠  0     |  (x+9) is not a factor of the polynomial function