Unit 12 Worksheet 2
11.9 NOTES
Steps: (For polynomials with 4 terms, do not combine the like terms)
|To Factor: |To Solve: |
|Look at the terms of the polynomial and see if you can factor out a GCF. |Set each binomial equal to zero. |
|Group the first two and last two terms of the polynomial together. |Solve each to find the solutions |
|Factor out the GCF separately for the terms grouped together. (At this point you | |
|should have 2 matching binomials.) | |
|The remaining binomials should be the same. If not, see if you can factor out a | |
|negative of one of the groups to create common binomials. | |
|The two GCF’s come together to form a binomial and the common binomial is the | |
|other factor of the polynomial. | |
11.9 NOTES
Steps: (For polynomials with 4 terms, do not combine the like terms)
|To Factor: |To Solve: |
|Look at the terms of the polynomial and see if you can factor out a GCF. |Set each binomial equal to zero. |
|Group the first two and last two terms of the polynomial together. |Solve each to find the solutions |
|Factor out the GCF separately for the terms grouped together. (At this point you | |
|should have 2 matching binomials.) | |
|The remaining binomials should be the same. If not, see if you can factor out a | |
|negative of one of the groups to create common binomials. | |
|The two GCF’s come together to form a binomial and the common binomial is the | |
|other factor of the polynomial. | |
Algebra 2
11.9 Factoring and Solving by Grouping
NOTES
Steps: (For polynomials with 4 terms, do not combine the like terms)
|To Factor: |To Solve: |
|Look at the terms of the polynomial and see if you can factor out a GCF. |Set each binomial equal to zero. |
|Group the first two and last two terms of the polynomial together. |Solve each to find the solutions |
|Factor out the GCF separately for the terms grouped together. (At this point you | |
|should have 2 matching binomials.) | |
|The remaining binomials should be the same. If not, see if you can factor out a | |
|negative of one of the groups to create common binomials. | |
|The two GCF’s come together to form a binomial and the common binomial is the | |
|other factor of the polynomial. | |
EXAMPLES:
| Factor | Solve |
|1. a) [pic] |b) [pic] |
| | |
| | |
| | |
|2. a) [pic] |b) [pic] |
| | |
| | |
| | |
|a) [pic] |b) [pic] |
| | |
| | |
| | |
ASSIGNMENT
|Factor each of the following by Grouping. |
|set the factors equal to zero and then solve (A Level) |
|1. [pic]= 0 |2. [pic]= 0 |3. [pic]= 0 |
| | | |
|Factor: |a) Factor: |a) Factor: |
| | | |
| | | |
| | | |
| | | |
| |b) Solve: | |
|Solve: | |b) Solve: |
| | | |
| | | |
|4. [pic]= 0 |5. [pic]= 0 |6. [pic]= 0 |
| | | |
|a) Factor: |a) Factor: |a) Factor: |
| | | |
| | | |
| | | |
| | | |
| | | |
|b) Solve: |b) Solve: |b) Solve: |
| | | |
| | | |
| | | |
|7. [pic]= 0 |8. [pic]= 0 |9. [pic]= 0 |
| | | |
|a) Factor: |a) Factor: |a) Factor: |
| | | |
| | | |
| | | |
| | | |
| | | |
|b) Solve: |b) Solve: |b) Solve: |
| | | |
| | | |
| | | |
|Mixed Review Simplify. |
|10. [pic] |11. [pic] |
| | |
| | |
| | |
|12. [pic] |13. [pic] |
| | |
| | |
RANDOM ANSWERS
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic] |b) x = [pic] |
|a) [pic]= |b) x = 2, -2, and -3 |
| 3[pic] | |
|[pic] |[pic] |
|[pic] |[pic] |
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- macmillan english 6 unit 6 worksheet student key to correction
- free printable worksheet 2 grade writing
- piecewise functions worksheet 2 answers
- dna unit review worksheet key
- unit conversion worksheet pdf
- unit conversion worksheet with answers
- unit rates worksheet pdf
- balancing worksheet 2 with answers
- blank unit circle worksheet pdf
- unit circle worksheet pdf
- theme worksheet 2 answers
- theme worksheet 2 answer key