Menu

English

Recap: Remainders and Factors

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 11 of 54.

Challenge

Is x + 1 a factor of p(x) = 2x^3 - x^2 + 3x + 6? The board holds the value of p at -1. Use the rule, then type the arithmetic line by line.

Try it yourself

p(-1)

Simplify the expression

All lessons in Polynomials & Rational Expressions

1Polynomial Long Division

How Long Division Works One Term at a Time A Remainder Left Over A Missing Term Dividing by a Quadratic 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 Remainder Theorem The Factor Theorem Finding a Missing Number Using a Known FactorRecap: 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 Out Final: 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