How Long Division Works

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 1 of 51.

97 divided by 4 is 24, remainder 1. Polynomials, sums of powers of x, divide step by step in the same way. Divide ${x}^{2}+3x+5$ by $x+1$ .

Challenge

Divide ${x}^{2}+5x+9$ by $x+2$ . Write one step per line: the answer so far, plus what is left divided by $x+2$ . Stop when what is left has no x.

Try it yourself

\frac{x^{2}+5x+9}{x+2}

Divide the polynomials

All lessons in Polynomials & Rational Expressions

1Polynomial Long Division

4Polynomial Equations

7Adding and Subtracting

10Variation

3Factoring Higher Degree

6Rational Expressions

9Rational Inequalities