Guided Problem Solving helps students learn to factor polynomials using Greatest Common Factor and Grouping. The packet can be used during lecture as guided notes. It begins with finding prime factors to determine the GCF, then uses that concept to teach how to factor polynomials using GCF; factor 4-term polynomial expressions using GCF and Grouping; and factor and solve 4-term polynomial equations using GCF, Grouping, and the Zero Product Property.
This packet will guide students through the process of learning to factor. They will:
~ Use prime factor trees and a chart to guide them through the process of determining the Greatest Common Monomial Factor of a polynomial and then factoring the polynomial.
~ Factor out the monomial or binomial GCF from polynomial expressions.
~ Factor the monomial GCF from an equation and solve using the Zero Product Property.
~ Factor 4-term expressions using GCF and Grouping.
~ Factor 4-term equations using GCF and Grouping, and solve using the Zero Product Property.
The packet includes 10 pages of problems, 4 pages of answer/solution sheets, and 2 pages of information and the cover.
Dawn Designs Polynomial Worksheets:
~ L e a r n i n g / G u i d e d P r o b l e m S o l v i n g
Polynomials: Factor and Solve Using GCF and Grouping with 4 Terms (This is the one you are viewing.)
Factor monomial and binomial GCF, optionally using prime factor trees to help;
Factor 2-term and 4-term polynomials;
Factor and solve 2-term and 4-term polynomials.
Polynomials: Methods for Factoring Trinomials
Practice finding numbers that have a product of ac and a sum of b;
Factor trinomials when a=1 and when a≠1, using Grouping or Trial & Error.
Polynomials: Factoring Patterns – Difference of Squares/Cubes, Perfect Square
Identify and Factor polynomials written in patterns: Difference of Squares, Sum of Cubes, Difference of Cubes, Perfect Square Trinomials.
~ P r a c t i c e a n d R e v i e w
Polynomial Review: Exponent & Polynomial Operations, Factor, and Solve
Review exponent rules;
Review add, subtract, multiply, and divide polynomials;
Review factor and solve for 2-term, 4-term, and trinomial polynomials.
~ B U N D L E a n d S a v e !
Polynomial Bundle: Operations, Factoring, & Solving
Includes ALL products listed above!
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©2013 Dawn Kermizian of Dawn Designs. All rights reserved.
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Clip Art Credits for Cover
Dotted border: Buford Girl
Swirly border: A Sketchy Guy
Polynomials: Factor and Solve Using GCF and Grouping With 4 Terms
by Dawn Designs
is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License