Multiplying Binomials: Methods and Examples
Learn how to multiply binomials using the distributive property, tables, and the FOIL method. Practice simplifying expressions and expand your algebraic skills with step-by-step examples and visuals.
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Presentation Transcript
8.3 Multiplying Binomials Objective: to multiply two binomials or a binomial by a trinomial day 1
Using the distributive property to find the product of two binomials. Review: 2(3x 7) 2(3x 7) 6x 6x - 14 2(3x 7) Simplify: (2x + 4) (3x 7) (2x + 4) (3x 7) 2x(3x 7) + 4 (3x 7) 6?2 - 14x + 12x -28 6?2 - 2x - 28
Using the distributive property to find the product of two binomials. Simplify: (x - 6) (4x + 3) (x - 6) (4x + 3) x(4x + 3) - 6 (4x + 3) 4?2 -24x -18 + 3x 4?2 - 21x - 18
REVIEW: Using a table to multiply mult 4 8 3 5 x 4x 12 24 20 40 8x
Using a table to multiple binomials Simplify: (x - 3)(4x 5) x -3 4?2 4x -12x -5 -5x 15 4?2 - 12x 5x + 15 4?2 - 17x + 15
Using a table to multiple binomials Simplify: (3x + 1)(x - 3) 3x +1 3?2 x 1x -3 -9x -3 3?2 + 1x 9x - 3 3?2 - 8x - 3
Simplify using the FOIL method FOIL First Outside Inside Last L F Simplify: (x + 3) (x + 1) I O ?2 + 1? +3? +3 ?2 +4x + 3
Simplify using the FOIL method FOIL First Outside Inside Last L F Simplify: (3x 4) (2x - 7) I O 6?2- 21? 8? + 28 6?2 - 29x + 28
Simplify using the FOIL method FOIL First Outside Inside Last L F Simplify: (5x 3) (x + 7) I O 5?2+35? 3? - 21 5?2 +32x - 21 Assignment: pg 501: 8-28
