8-6 Factoring trinomials (a>1)

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Presentation transcript:

8-6 Factoring trinomials (a>1) Quiz this Friday! 8-6 Factoring trinomials (a>1) Please work on the following problems on your notes (start before the bell rings): Warm up: #1: Factor: y6 – 25x4 #3: Factor x2 + 6x + 8 #2: 4x2 - 36 a) Name polynomial (by terms) b) Name polynomial (by degree) c) Factor

8 2 4 6 1st•3rd 2nd x2 + 4x +2x + 8 (y3 + 5x2) (y3 - 5x2) (x+2)(x+4) Warm up: #1: Factor: y6 – 25x4 #3: Factor x2 + 6x + 8 #2: 4x2 - 36 a) Name polynomial (by terms) b) Name polynomial (by degree) c) Factor (y3 + 5x2) (y3 - 5x2) x2 + 4x +2x + 8 (x+2)(x+4) Binomial 1st•3rd 8 Quadratic (2x + 6) (2x – 6) OR 2(x+3)(2)(x-3) 4(x2 – 9) OR 4(x+3)(x-3) 2 4 6 2nd

Remember: X-BOX METHOD G C F 1st•3rd First Term From “x” G C F From “x” Last Term 2nd Box is only necessary if there is a number infront of the x2 2 # that multiply to top and add to bottom

Example 1 Factor 3x2 + 2x – 8 3x2 + 6x – 4x – 8 x 2 -24 3x 3x2 6x 6 -4 1st•3rd -24 3x 3x2 6x 6 -4 -4 -4x -8 2 2nd Answer: (3x – 4)(x + 2)

Example 2 Factor 4x2 - 4x – 15 4x2 -10x + 6x – 15 2x -5 -60 2x 4x2 1st•3rd -60 2x 4x2 -10x -10 6 3 6x -15 -4 2nd Answer: (2x + 3)(2x – 5)

TOO:

Factor out the GCF first! Example 3 GCF = 3 Factor completely. 18x2 + 21x + 6 3(6x2 + 7x + 2) Factor out the GCF first! 3(6x2 + 4x + 3x + 2) 3x 2 12 2x 6x2 4x 3 4 1 3x 2 7 3(3x + 2)(2x + 1) Don’t forget the GCF 3 out front!

Quiz this Friday! Homework Due Monday! Do your homework! Delta Math Week B WS Factor Trinomial Sorting Activity (Factoring) Do your homework! Quiz this Friday!

TOO (GCF FIRST!!!)