SOLUTION: please help w/ the following: Use the Remainder Theorem to find p(-3) if P(x)= x^6+4x^5+x^3-8x^2-22. Also find the quotient polynomial that leads to the remainder. Thank you.

Algebra ->  Systems-of-equations -> SOLUTION: please help w/ the following: Use the Remainder Theorem to find p(-3) if P(x)= x^6+4x^5+x^3-8x^2-22. Also find the quotient polynomial that leads to the remainder. Thank you.      Log On


   

Question 62440: please help w/ the following:
Use the Remainder Theorem to find p(-3) if P(x)= x^6+4x^5+x^3-8x^2-22.
Also find the quotient polynomial that leads to the remainder.
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
p(-3) if P(x)= x^6+4x^5+x^3-8x^2-22.
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Use synthetic division as follows:
-3 ) 1 4 0 1 -8 0 -22
1 1 -3 10 -38 114 |-364
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f(-3)=-364
Quotient is x^5+x^4-3x^3+10x^2-38x+114
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Cheers,
Stan H.