Algebra - Dividing Polynomials (Assignment Problems)

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Section 5.1 : Dividing Polynomials

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

Divide $7{x^2} + 4x - 9$ by $x - 1$
Divide $8{x^3} - 4x + 1$ by $x + 6$
Divide ${x^4} - 2{x^2} + 7x$ by $x - 4$
Divide $2{x^4} - 9{x^3} + 2x + 8$ by $x + 3$
Divide $8{x^4} + {x^3} - 3{x^2} + 1$ by ${x^2} - 2$
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.

Divide $- {x^3} - 8{x^2} + x + 10$ by $x + 2$
Divide $10{x^3} - 9x$ by $x - 10$
Divide $3{x^4} + 5{x^3} + x - 2$ by $x + 7$
Divide ${x^4} + 2{x^3} - 9x + 11$ by $x + 3$
Divide $5{x^4} - 4{x^3} + 3{x^2} - 2x + 1$ by $x - 1$