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Find the quotient and remainder when x^3 + 3x^2 – x – 7 is divided by x – 2

+2 votes
Find the quotient and remainder when x^3 + 3x^2 – x – 7 is divided by x – 2
asked Feb 23, 2013 in ALGEBRA 2 by andrew Scholar

1 Answer

+3 votes

Let f(x) = x3 + 3x2 - x - 7 is divided by x - 2.

Remember basic arithmetic: Dividend = Divisor x Quotient + Remainder.

Use Synthetic Division to divide polynomials:

    2| 1   3    -1     -7

      | 0   2   10    18

      |___________________

       1    5    9     | 11

Here Quotient is x2 + 5x + 9 and Remainder is 11.

 

Or you can use long method of dividing:

x - 2)x3 + 3x2 - x - 7(x2 + 5x + 9

       x3 - 2x2

              5x2 - x

              5x2 - 10x

                    9x - 7

                    9x - 18

                           11

Therefore Quotient is x2 + 5x + 9 and Remainder is 11.

answered Feb 23, 2013 by richardson Scholar

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