Polynomial Factoring Techniques
Learn how to factor polynomials using the distributive property, factor completely by finding the greatest common factor (GCF), factor by grouping, and solve equations involving factored expressions. Explore real-life situations where polynomial factoring is applied. Practice with worksheets and examples provided.
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Presentation Transcript
Section 10.8 Factoring Using the Distributive Property Objectives: Use the distributive property to factor a polynomial
Factor a polynomial completely To write a polynomial as the product of: Monomial factors (GCF =Greatest Common Factor) Prime factors with at least two terms (two binomials or one polynomial) Prime polynomials cannot be factored
EX: Factor the expression completely 5 2 33 121 x x 1. 2. x 2 4 36 3. 4. 3 2 4 2 5 25 30 75 3 x x x x x
Factor by Grouping Factoring polynomials that have four terms. You group into two groups of terms and factoring the greatest common factor out of each term. EX: + + + 3 2 2 3 6 x x x
EX: Factor the expression completely 5. 6. + + + 3 2 3 2 4 6 24 7 7 84 x x x x x x 7. + 3 2 2 36 72 x x x
EX: Solve the equations = 3 16 100 0 x x 8. + = 3 2 2 10 8 0 x x x 9.
Real-life situation The width of a box is 2 inches less than its length. The height is 8 inches greater than the length. The box has a volume of 96 cubic inches. What are the dimensions of the box?
Factoring Using the Distributive Property WS 20 questions
