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Algebraic Expressions

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Presentation on theme: "Algebraic Expressions"— Presentation transcript:

1 Algebraic Expressions
Honors Precalculus Adv. January 11 – 12, 2018 Mr. Agnew

2 Essential Question Essential Vocabulary
How do you factor algebraic expressions? Essential Vocabulary Factoring GCF Quadratic Trinomial Difference of Squares Sum and Difference of Cubes Grouping

3 Multiplying Expressions
Terminology: polynomial, monomial, binomial, trinomial, degree Multiplying polynomials FOIL, or distribute terms Look for conjugates when multiplying Examples

4 Factoring: GCF When factoring an algebraic expression, ALWAYS look for a GCF first. GCF may be a term or a binomial. Examples…

5 Factoring Trinomials Recall a trinomial is a polynomial with three terms. Factor into two binomials using trial and error (a, b, c). Examples…

6 Difference of Squares Factoring difference of squares:
(factor into conjugates) Examples…

7 Factoring by Grouping Use grouping when expression is four terms.
Group first two and last two. Look for GCF. Examples…

8 Sum/Difference of Cubes
To factor the sum or difference of two perfect cubes… Examples…

9 Special Forms of Factoring
When factoring, if the middle term’s exponent is half the first, factor as a trinomial… Hints for factoring ALWAYS look for a GCF 2 terms = perfect squares or perfect cubes 3 terms = trinomial 4 terms = grouping Examples

10 Homework: Factoring Homework Factoring Worksheet


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