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Section 5.1 : Dividing Polynomials

For problems 1 – 6 use long division to perform the indicated division.

1. Divide \(7{x^2} + 4x - 9\) by \(x - 1\)
2. Divide \(8{x^3} - 4x + 1\) by \(x + 6\)
3. Divide \({x^4} - 2{x^2} + 7x\) by \(x - 4\)
4. Divide \(2{x^4} - 9{x^3} + 2x + 8\) by \(x + 3\)
5. Divide \(8{x^4} + {x^3} - 3{x^2} + 1\) by \({x^2} - 2\)
6. Divide \(4{x^5} - 7{x^3} + {x^2} - 4x + 2\) by \(2{x^2} - 3x - 6\)

For problems 7 – 11 use synthetic division to perform the indicated division.

1. Divide \( - {x^3} - 8{x^2} + x + 10\) by \(x + 2\)
2. Divide \(10{x^3} - 9x\) by \(x - 10\)
3. Divide \(3{x^4} + 5{x^3} + x - 2\) by \(x + 7\)
4. Divide \({x^4} + 2{x^3} - 9x + 11\) by \(x + 3\)
5. Divide \(5{x^4} - 4{x^3} + 3{x^2} - 2x + 1\) by \(x - 1\)