Unit 4: Factoring & Applications (Math 20-1)
Review; trinomials; special forms; solving quadratic & radical equations by factoring.
GCF
\((x+m)(x+n)\)
AC-Method
Perfect Squares
Difference of Squares
Domain & Extraneous
What You Should Be Able To Do
- Factor \(x^2+bx+c\) and \(ax^2+bx+c\) (\(a\neq0\)) and recognize special forms (perfect square trinomials, differences of squares).
- Factor completely, including a numerical/variable GCF, and verify by expansion.
- Solve quadratic equations by factoring and interpret solutions (x-intercepts, number of roots).
- Solve simple radical equations by isolating radicals, squaring, and checking for extraneous solutions; state domain restrictions.
Progress autosaves to this device.
Video Library
Factoring \(ax^2+bx+c\) (AC-Method)
Split the middle term & factor by grouping.
youtube.com – “factoring trinomials ac method”Special Forms: PST & DoS
Recognize and factor quickly.
youtube.com – “perfect square trinomials and difference of squares”Solving Quadratics by Factoring
Zero-product property and intercepts.
youtube.com – “solving quadratics by factoring”Radical Equations & Extraneous Solutions
Isolate, square, solve, and check.
youtube.com – “radical equations extraneous solutions”Interactive Tools
Form Classifier & Fast Factor
Quadratic Factorer & Solver
Solve by Factoring – Practice
Enter roots in any order (decimals allowed if needed).
Radical Equations (Check for Extraneous)
Unit 4 Quizzes
Downloadable Review
Quick Practice Scratchpad
Try: factor \(9x^2-24x+16\), solve \(6x^2+11x-10=0\), and solve \(\sqrt{3x-5}=7\); \(\sqrt{2x+9}=\sqrt{x+3}\).