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.

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) (Show Source): You can put this solution on YOUR website!
p(-3) if P(x)= x^6+4x^5+x^3-8x^2-22.
----------
Use synthetic division as follows:
-3 ) 1 4 0 1 -8 0 -22
1 1 -3 10 -38 114 |-364
----------
f(-3)=-364
Quotient is x^5+x^4-3x^3+10x^2-38x+114
----------
Cheers,
Stan H.

RELATED QUESTIONS
If P(x) = x^3 + 4x^2 - 8x - 15 Use the remainder theorem to find... (answered by stanbon,robertb)

Use the remainder theorem to find P(-2) for P(x)= x^3+4x^2-4x-8. Specifically give the... (answered by josgarithmetic)

Use the Remainder Theorem to find P (-1/7) if... (answered by prateekagrawal)

Use the remainder theorem to find P(−3) for =P(x)+2x^3+6x^2+6 . Specifically,... (answered by josgarithmetic)

Use the remainder theorem to findvP(-2) for P(x)=2x^4+4x^3-5x^2+4. Specifically,... (answered by stanbon)

#16 Use the remainer theorem to find P(-3) if P(x) = x^6+2x^5+5x^3-8x^2+26 Also find... (answered by ikdeep)

If P(x) =3x to the 3rd power + 7x squared - 2x +6, use the remainder theorem to find the... (answered by RAY100)

Use the remainder theorem to find P(-3) for P(x)=x^4+2x^3-x-4 Specifically, give the... (answered by stanbon)

Studying for final exam and require assistance with the following problems: If... (answered by stanbon)