Recap: Remainders and Factors

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 8 of 51.

Challenge

$x+2$ is a factor of $p\left(x\right) = {x}^{3}+{kx}^{2}-x-2$ . Find k from $p\left(-2\right) = 0$ . Put k into p. Then factor p and find every x with $p\left(x\right) = 0$ .

Try it yourself

p\cdot \left(-2\right) = 0

p\left(x\right) = 0

Find $k$ , $x$

Given $p\left(x\right) = x^{3}+kx^{2}-x-2$

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 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