SOLUTION: Use the remainder theorem to solve x^4-9x^3-5x^2-3x+4 divided by x+3 Thank you so much for your help

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Question 1010786: Use the remainder theorem to solve
x^4-9x^3-5x^2-3x+4 divided by x+3
Thank you so much for your help
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Use synthetic division, if you know how, to check the possible root -3. The remainder (if it occurs, if not zero) is the dividend evaluated at x=-3. 


-3     |     4     -9     -5     -3     4
       |
       |           -12    63    -174   531   
       |_______________________________________
             4    -21     58    -177   535

result: 535

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Use the remainder theorem to solve
x^4-9x^3-5x^2-3x+4 divided by x+3
Thank you so much for your help
With a factor of x + 3, one zero is: - 3

Based on the remainder theorem, remainder is: f(- 3), or %28-+3%29%5E4+-+9%28-+3%29%5E3+-+5%28-+3%29%5E2+-+3%28-+3%29+%2B+4, or highlight_green%28292%29