1 / 8

Algebra 2

Algebra 2. 7.2: Factoring Trinomials (Reverse FOIL). Factoring x 2 + bx + c Leading coefficient is 1!!!. 1. ( ) with a variable in each group: (x )(x ) 2. Draw a big X. The third term goes on top the middle # goes on bottom.

chinue
Download Presentation

Algebra 2

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. Algebra 2 7.2: Factoring Trinomials (Reverse FOIL)

  2. Factoring x2 + bx + cLeading coefficient is 1!!! 1. ( ) with a variable in each group: (x )(x ) 2. Draw a big X. The third term goes on top the middle # goes on bottom. 3. Think of two #’s that multiply to get the top, but the same #’s add to get the bottom. - Hint!!! List the factors of the top # if you get stuck. 4. Place the two correct numbers and their signs in the ( )’s. It doesn’t matter which number goes where!!!

  3. Factoring x2 + bx + c 1) 2) 3) 4) ( )( ) ( )( ) + 6 r + - 4 a - r 2 a 2 ( )( ) ( )( ) - 5 y + - 5c b + y 7 b 2c

  4. Factoring ax2 + bx + cLeading coefficient is not 1!!! 1. Make bracket, then multiply 1st and 3rd terms. 2. Draw big X. # on bracket goes on top the middle # goes on bottom. 3. Think of two #’s that multiply to get the top, but the same #’s add to get the bottom. - Hint!!! List the factors of the top # if you get stuck. 4. Make a box, then divide into 4 smaller boxes. 5. Place 1st term in upper left and 3rd term in lower right from the trinomial. Place #’s from Step 3 into other boxes, then put an x next to them. 6. Find GCF of top and bottom boxes Find GCF of boxes on left & boxes on right *The answer will be right in front of your face!!!*

  5. Factoring ax2 + bx + c 1) 2) 12×-2=-24: You want two numbers that multiply to give you -24 and add to give you -5: They are -8 and 3: 3×2=6: You want two numbers that multiply to give you 6 and add to give you 7: They are 1 and 6: 1 1 4x 3x 3x x -2 2

  6. Factoring out the GCF 1st!!! 1) GCF = 2) GCF = 3×-12=-36: You want two numbers that multiply to give you -36 and add to give you -16: They are -18 and 2: 2×-2=-4: You want two numbers that multiply to give you -4 and add to give you 3: They are -1 and 4: -6 -1 x 2y y 3x 2 2

  7. Factoring ax4 + bx2 + c 1) 2) 6×-20=-120: You want two numbers that multiply to give you -120 and add to give you 7: They are 15 and -8: -4 3y2 2y2 5

  8. Helpful Hint: These can be in either order

More Related