SOLUTION: Can someone please help dividing polynomials (3x^3 – x^2 + 10^x – 4) ÷ (x + 3)

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Question 202748: Can someone please help
dividing polynomials
(3x^3 – x^2 + 10^x – 4) ÷ (x + 3)

Found 2 solutions by stanbon, jsmallt9:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
dividing polynomials
(3x^3 – x^2 + 10x – 4) ÷ (x + 3)
----------------
Using synthetic division:
-3)....3....-1....10....-4
.........3....-10....-20..|..56
======================================
Quotient: 3x^2 - 10x - 20
Remainder: 56
======================================
Cheers,
Stan H.

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
Here's the long division:
    3x^2 + (-10x) + 40
    ___________________________
x+3/3x^3 + (-x^2) + 10x +  (-4)
    3x^3 +  9x^2
    ------------
          -10x^2 +  10x 
          -10x^2 + -30x
          -------------
                    40x + (-4)
                    40x + 120
                    ----------
                         -124

As usual, when the remainder is not 0, you put it into the numerator of a fraction with the divisor in the denominator. So:
(3x^3 – x^2 + 10^x – 4) ÷ (x + 3) =

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