Algebraic Expressions

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Presentation transcript:

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

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

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

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

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

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

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

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

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

Homework: Factoring Homework Factoring Worksheet