# Algebra

posted by .

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)=

• Algebra -

X = -2,
X + 2 = 0.

Using synthetic division, divide the given Eq by X + 2 and get:

P(-2) = 2X^3 - 5X + 10, R = -16.

## Similar Questions

1. ### Math

Use synthetic division and the remainder theorem to find the value 3x^3-5x2-6x+4 f(-5) I got a remainder of -466 is this correct
2. ### Algebra

Factor find the zeros x^5-9x^3 Find the quotient and remainder using long division (x^3-x^2-2x+6)/(x-2) Use sythetic division and remainder therem to evalulate P(c) Let P(x)= 6x^7-40x^6+16x^5-200x^4-60x^3-69x^2+13x-… *Calculate P(7) …
3. ### Algebra 2

Need help on the #13-20. 13. What is the quotient of d − 2 ) d 4 − 6d 3 + d + 17 __________________ ?
4. ### Remainder Theorem

Use the remainder theorem to: find the remainder when f(x) is divided by x – c, and determine whether x – c is a factor of f(x). f(x) = x^4 - 8x^3 + 9x^2 - 69x + 24 ; x - 8 Please show all of your work.
5. ### Math

Use synthetic division to find the quotient and remainder: (2x^5-7x^3-5x^2+1)/(x-2) This is what I got: Quotient: 2x^4+4x^3+x^2-3x-6 Remainder: -11 Do i just leave the quotient like this: 2x^4+4x^3+x^2-3x-6?
6. ### math

Each dividend was divided by another polynomial, resulting in the given quotient and remainder. Find the divisor Divided:5x^3+x^2+3 ,quotient:5x^2-14x+42, remainder:-123