Download presentation

Presentation is loading. Please wait.

1
**6.4 and 6.5 Factoring Trinomials**

“Using Bottom’s Up Method”

2
**Factoring Trinomials Factor a trinomial into two binomials**

Example: x² +5x +6 = (x +3)(x +2) Opposite of Foiling To check answers Foil Example: (x+3) (x+2) = x² +5x +6

3
**The X factor To begin factoring trinomials draw a BIG X**

East and West multiplied together = North East and West added together =South North East West South

4
The X Factor 35 1.) 2.) 3.) 4.) 7 4 12 6 9 6 7

5
**The X Factor: How to put a trinomial in the X**

Make sure the polynomial is in descending order: ax² +bx +c Multiply a and c to get the North term Write b in the South Find what two numbers add to get the south and multiply to get the north. Those two numbers are your east and west

6
**The X Factor: With Trinomials**

1.) x² + 8x +15 2.) 3x⁴ + 4x² +1

7
**Bottom’s Up Draw your X and do the X Factor**

Make East and West your binomials. Divide your leading term’s variable’s exponent by 2: (ax²+bx+c) = (x + west) (x + East) (ax⁴ +bx²+c) = (x²+ west) (x²+East) (ax⁶ +bx³ +c) = (x³ + west) (x³+ East) ** If there are 2 variables: (ax² +bxy+cy²) = (x + west y) (x+ east y) Divide West and East by the coefficient of the leading term (usually the number in front of x²) Simplify (reduce fraction) Bring the bottom number up in front of x Check answer by foiling

8
See Examples 1.) x² + 8x+ 15 Check: 2.) 2x² + 7x +3 Check:

9
Examples 3.) x² + 7xy + 12y² Check: 4.) 6x⁴ +17x² + 5 Check:

Similar presentations

OK

Topic VII: Polynomial Functions 7.1.1 Polynomial Operations.

Topic VII: Polynomial Functions 7.1.1 Polynomial Operations.

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google