SOLUTION: Use the remainder theorem to findvP(-2) for P(x)=2x^4+4x^3-5x^2+4. Specifically, give the quotient and the remainder for the associated division and the value of P(-2). Q

Algebra.Com
Question 404553: Use the remainder theorem to findvP(-2) for P(x)=2x^4+4x^3-5x^2+4.

Specifically, give the quotient and the remainder for the associated division and the value of P(-2).
Quotient=
Remainder=
P(-2)=

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Use the remainder theorem to find P(-2) for P(x)=2x^4+4x^3-5x^2+4.
Specifically, give the quotient and the remainder for the associated division and the value of P(-2).
----
Using synthetic division you get:
-2)....2....4....-5....0....4
........2....0....-5...10...|..-16

Quotient= 2x^3-5x+10
Remainder= -16
P(-2)= -16
====================
Cheers,
Stan H.

RELATED QUESTIONS

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(-3) for P(x)=x^4+2x^3-x-4 Specifically, give the... (answered by stanbon)
Use the remainder theorem to find P(−3) for =P(x)+2x^3+6x^2+6 . Specifically,... (answered by josgarithmetic)
Use synthetic division and the Remainder Theorem to evaluate P(c), where... (answered by josgarithmetic)
Use the Remainder Theorem to find P (-1/7) if... (answered by prateekagrawal)
For the given polynomial p(x) and C=-2 use the remainder theorem to find P(c)... (answered by stanbon)
Use synthetic division and the remainder theorem to find P(a) P(x)=x^3+5x^2-2x+7; a=4 (answered by josgarithmetic)
use synthetic division to determine the quotient and remainder.2x^3-5x^2-4x+6 divided by... (answered by Gogonati)
Find the quotient and remainder for (x^4-2x^2+3) divided by... (answered by RAY100)