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8-5 Factoring Trinomials

8-5 Factoring Trinomials. Please work on the following problems on your notes (start before the bell rings): Warm up : #1: Multiply : (x – 8)( x + 8) #3: - 10y 2 + 4 x 2 y + 5 a ) Name polynomial (by terms) b ) Name polynomial (by degree). #2: Factor

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8-5 Factoring Trinomials

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  1. 8-5 Factoring Trinomials Please work on the following problems on your notes (start before the bell rings): Warm up: #1: Multiply:(x – 8)(x + 8) #3: - 10y2 + 4x2y + 5 a) Name polynomial (by terms) b) Name polynomial (by degree) #2: Factor 3x3 - 12x2 + 2x - 8

  2. 8-5 Factoring Trinomials ANSWERS #1: Multiply:(x – 8)(x + 8) x2 + 8x – 8x – 64 x2 – 64 #3: - 10y2 + 4x2y + 5 a) Name polynomial (by terms) Trinomial b) Name polynomial (by degree) Cubic #2: Factor 3x3 - 12x2 + 2x - 8 x -4 3x3 -12x2 3x2 2x -8 2 (3x2 + 2)(x - 4)

  3. Remember… (x+2)(x+5) We used box method. Today, we are going to work BACKWARDS!  New method…. X-BOX!! x 5 Notice: 5•2 = 10 5 + 2 = 7 x x2 5x 10 2x 2

  4. Example 1: Factor x2 + 14x + 45 x2 + 9x + 5x + 45 9 x 45 x 9x x2 9 5 14 5 5x 45 (x + 5)(x + 9)

  5. X-BOX METHOD G C F 1st•3rd First Term From “x” G C F From “x” Last Term 2nd 2 # that MULTIPLY to top and ADD to bottom

  6. Example 2: Factor x2– 2x – 35 x2– 7x + 5x – 35 -7 x -35 x -7x x2 -7 5 -2 5 5x -35 (x – 7)(x + 5)

  7. Example 3: Factor -12 12 1 12 + - 2 6 6 3 4

  8. TOO  Factor

  9. Homework • Delta Math Ch 8 Pt 2 (Week B) Due next Mon 2/4 8am

  10. Helpful X hints. + + + + - - + - - - + big - small - big + small + -

  11. Example 4: Factor x2 – 16xy + 48y2 x2– 12xy– 4xy + 48y2 -12y x 48 48 1 48 x -12xy x2 - 4 - 12 2 24 3 16 -4xy -16 48y2 -4y 4 12 (x – 12y)(x – 4y)

  12. TOO  Factor • A rectangular skateboard park has an area of • x2 + 15x + 54. What are the possible dimensions of the park?

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