SOLUTION: Find the quotient and remainder when dividing the polynomial p(x) = 3x^4-x^3-4x^2+ 3x-5 by the polynomial d(x) = x^2-2.

Question 630654: Find the quotient and remainder when dividing the polynomial p(x) = 3x^4-x^3-4x^2+ 3x-5 by the polynomial d(x) = x^2-2.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

        3x^2 -x   +2
       _____________________________________
x^2-2 / 3x^4 -x^3 -4x^2  +3x  -5
        3x^4      -6x^2                        <== line up like terms!
        ===============
             -x^3 +2x^2
             -x^3        -2x
             ===============
                   2x^2  +5x
                   2x^2       -4
                   =============
                          5x - 1

Quotient:
Remainder:
RELATED QUESTIONS
Use synthetic division to find the quotient and remainder if the first polynomial is... (answered by stanbon)

i call my favorite polynomial p(x). when p(x) is divided by x-2 , the quotient is 3x^2... (answered by stanbon)

find the quotient and remainder when p(x) is divided by d(x) where p(x) = 3x^2 plus 4x... (answered by Fombitz)

use synthetic division to find the quotient and remainder when the first polynomial is... (answered by Edwin McCravy)

Find the quotient and remainder when the first polynomial is divided by the second.... (answered by vksarvepalli)

Use synthetic division to find the quotient and remainder if the first polynomial is... (answered by lwsshak3)

can u herlp me solve my problem ..... when the polynomial p(x) is divided by x - 5, the... (answered by Alan3354)

when a polynomial P(x) is divided by 3x-4, the quotient is x^3+2x+2 and the reminder is... (answered by ikleyn)

When a polynomial is divided by (x-5). The quotient Is 5x^2+3x+12 with a remainder 7. (answered by solver91311,Boreal)