Final: Divide It Out

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 47 of 51.

Divide the polynomial on the board by x + 1 with long division. Its top has no x term, and the division does not come out even: write the result as a polynomial plus the remainder over x + 1.

Challenge

Divide $\frac{2{x}^{3}-{x}^{2}+4}{x+1}$ . Write the result as a polynomial plus a remainder over x + 1.

Try it yourself

\frac{2x^{3}-x^{2}+4}{x+1}

Divide the polynomials

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polynomials & Rational Expressions

1Polynomial Long Division

How Long Division Works The Remainder Theorem A Missing Term Recap: Long Division

4Polynomial Equations

Common Factor First Grouping to Solve Fourth Powers Recap: Polynomial Equations

7Adding and Subtracting

Same Bottom Different Bottoms Subtracting Factor the Bottoms First Recap: Adding Fractions

10Variation

Direct Variation Inverse Variation Work Together Recap: Variation

2Remainders and Factors

The Factor Theorem Finding a Missing Number Using a Known Factor Recap: Remainders and Factors

5Sign Charts

Between the Roots Outside the Roots A Negative Leading Term Reading a Sign Chart Recap: Sign Charts

8Rational Equations

Clearing Fractions x in the Bottom Cross-Multiplying A False Answer One True, One False Recap: Rational Equations

11Final Challenges

Final: Divide It OutFinal: Every Root Final: One Fraction Final: Check the Answer Final: The Sign Chart

3Factoring Higher Degree

Factor by Grouping Grouping All the Way Difference of Cubes Sum of Cubes A Quadratic in Disguise Recap: Factoring

6Rational Expressions

Cancelling Factors Excluded Values Multiplying Dividing Recap: Rational Expressions

9Rational Inequalities

Signs of a Fraction Including the Edge Recap: Rational Inequalities