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Chapter 18.7
Solving polynomials with the unknown
What You'll Learn
Identify all possible values of the coefficient b in trinomials ax² + bx + c
Apply reverse FOIL method to determine factor pairs that produce given polynomials
Recognize how different factor combinations yield different middle term coefficients
Calculate b by multiplying outer and inner terms and adding the results
What You'll Practice
1
Finding all possible k values in expressions like 3x² + kx + 4
2
Testing factor pairs with positive and negative signs
3
Switching factor positions to find additional solutions
Why This Matters
Finding the unknown coefficient b strengthens your understanding of how trinomial factoring works in reverse. This skill is essential for verifying factored forms, solving quadratic equations, and building flexibility with polynomial manipulation in algebra and beyond.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Trinomial Factoring
Reverse FOIL
Polynomials
Quadratic Expressions
Coefficient Finding
Factor Pairs
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