# SOLUTION: Use polynomial long division to divide -9x3 – 18x2 – 11x – 2 by -3x2 – 5x – 2

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 530442: Use polynomial long division to divide -9x3 – 18x2 – 11x – 2 by -3x2 – 5x – 2Answer by Edwin McCravy(8908)   (Show Source): You can put this solution on YOUR website!```Start with this: __________________ -3x²-5x-2)-9x³-18x²-11x - 2 Divide getting 3x write 3x above the top line: 3x -3x²-5x-2)-9x³-18x²-11x - 2 Next multiply 3x by -3x²-5x-2, 3x(-3x²-5x-2), getting -9x³-15x-6x and write this below and underline it like this: 3x -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x Next subtract (-9x³-18x²-11x)-(-9x³-15x²- 6x) = -9x³-18x²-11x+9x³+15x²+6x = -3x²-5x and write that below the line: 3x -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x -3x²- 5x Bring down the -2 3x -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x -3x²- 5x - 2 Divide getting +1 write +1 above the top line: 3x + 1 -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x -3x²- 5x - 2 Next multiply 1 by -3x²-5x-2, 1(-3x²-5x-2), getting -3x²-5x-2 and write this below and underline it like this: 3x + 1 -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x -3x²- 5x - 2 -3x²- 5x - 2 Next subtract (-3x²-5x-2)-(-3x²-5x-2) = -3x²-5x-2+3x²+5x+2 = 0 We write this 0 remainder down at the bottom 3x + 1 -3x²-5x-2)-9x³-18x²-11x - 2 -9x³-15x²- 6x -3x²- 5x - 2 -3x²- 5x - 2 0 And that's it. The answer is 3x + 1 with 0 remainder. Edwin```