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.

Algebra ->  Polynomials-and-rational-expressions -> 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.      Log On


   

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) About Me  (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: 3x%5E2-x%2B2%29
Remainder: 5x-1