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Find the quotient and also remainder as soon as x^3 + 3x^2 – x – 7 is divided by x – 2 +2 votesFind the quotient and also remainder when x^3 + 3x^2 – x – 7 is split by x – 2divisionaskedFeb 23, 2013in ALGEBRA 2by andrewScholar

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

You are watching: X^2 divided by x^3

Remember simple 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.

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Or you deserve to 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.