1 / 13

Factor Trinomials 8-4 page 107, example 1

Factor Trinomials 8-4 page 107, example 1. 2x 2 – 15x+ 18 When the last term is positive, what are the signs? Both positive? Both negative? Mixed? (+)(+) (-)(-) (+)(-). Factor Trinomials 8-4 page 107, example 1.

maya-glass
Download Presentation

Factor Trinomials 8-4 page 107, example 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18When the last term is positive,what are the signs?Both positive? Both negative? Mixed?(+)(+) (-)(-) (+)(-)

  2. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18The last term is positive,so the signs are the same.The middle term is negative so:Both signs are negative.(-)(-)

  3. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18Both signs are same, negative.(-)(-)But the first term has a coefficient of 2. Multiply 2 times 18.

  4. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18Both signs are negative.2 times 18 is 36What multiplies to 36 and adds to 15?

  5. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18What multiplies to 36 and adds to 15?36x1 check 36 + 1 18x2 check 18 + 2 12x3 check 12 + 3 found it!Use -12 and -3 because both signs are negative

  6. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18What multiplies to 36 and adds to 15?12x3=36 12+3=15(x-12)(x-3) Both signs negative Use the 2 from the first term as a denominator.

  7. Factor Trinomials 8-4 page 107, example 1 2x2 – 15x+ 18(x-12)(x-3) 2 2 Reduce if possible.(x-6)(x-3) 2Does not reduce so: (x-6)(2x-3)

  8. Factor Trinomials 8-4 page 107 #1 2x2 – 3x – 2; 2x2 = 4; Mult to 4; sub to 3(x-4)(x+1) Mixed signs 2 2 Reduce if possible.(x-2)(x+1) 2Does not reduce so: (x-2)(2x+1)

  9. Factor Trinomials 8-4 page 107 #7 2a2 + 5a + 3; 2x3 = 6; Mult to 6; adds to 5(x+3)(x+2) Same signs 2 2 Reduce if possible.(x+3)(x+1) 2Does not reduce so: (2x+3)(x+1)

  10. Factor Trinomials 8-4 page 107 #10 8x2 – 4x – 24; Factor out 44(2x2 – x – 6); 2times6=12; Multiplies to 12; subtracts to – 1.2(x+3)(x- 4) Mixed signs 2 2 Reduce if possible.2(x+3)(x-1) 2Does not reduce so: (2x+3)(x-1)

  11. Factor Trinomials 8-4 page 107 #13 3y2 – 6y – 24; Factor out 33(y2 – 2y – 8); Multiplies to 8; subtracts to – 2.3(y+2)(y-4)=0 mixed signs

  12. Factor Trinomials 8-4 page 108 #1 8x2 + 2x – 3; Check for GCF: none8 times 3 = 24; Mult to 24; subtracts to 2. 24x1;12x2; 8x3; 6x4; use 6 and 4.(x+6)(x - 4) becomes (x+3)(x – 1) 8 8 4 2 Move denominator to front(4x+3)(2x - 1)

  13. Factor Trinomials 8-4 page 108 #1 (4x+3)(2x - 1) = 0Solve: 4x+3= 0 2x - 1= 0 x = -3 x = 1 4 2

More Related