How to factor by grouping Assessments and examples are available Can be used by a math teacher in her discussion about factoring

1. Mathematics | Grade 8

2. Twobinomialswithfourdifferentterms:
= 2x(3y+4) + 3(3y+4)
= 6xy + 8x + 9y + 12
(2x+3) (3y+4)

3. Giventheproduct,howdowegetthe
factorsofthepolynomial?
= 2x(3y+4) + 3(3y+4)
(2x+3) (3y+4)
6xy + 8x + 9y + 12

4. 6xy + 8x + 9y + 12
FactoringbyGrouping

5. Terms toRemember:
grouping
common factors

6. 2x2 - nx- 2mx + mn
FactoringbyGrouping-Examples

7. x2 - y2 + 2yz - z2
FactoringbyGrouping-Examples

8. What is the first step in
factoring?
FactoringbyGrouping-Generalization
Enclose the
common factors
with a parentheses

9. After factoring, the factors
left are _______.
FactoringbyGrouping-Generalization
Two binomials

10. FactoringbyGrouping–Assessment1
1.) xy + ay + bx + ab
2.) 6xy – y + 24x – 4
3.) b2 + 2ab + a2 – 49
4.) 5a + b – 10a2 – 2ab
5.) 8x2 – 28x – 6x + 21

11. FactoringbyGrouping–Assessment2
1.) rs + as + br + ab
2.) y - 7xy + 5 – 35x
3.) m2 + 2mn + n2 – 49
4.) 5x + 10y – 3x2 – 6xy
5.) 6y2 – 5xy + 10y3 – 3x

12. Assessment 1

13. xy + ay + bx + ab
FactoringbyGrouping-Examples

14. 6xy – y + 24x – 4
FactoringbyGrouping-Examples

15. b2 + 2ab + a2 – 49
FactoringbyGrouping-Examples

16. 5a + b – 10a2 – 2ab
FactoringbyGrouping-Examples

17. 8x2 – 28x – 6x + 21
FactoringbyGrouping-Examples

18. Assessment 2

19. rs + as + br + ab
FactoringbyGrouping-Examples

20. – y + 7xy – 5 + 35x
FactoringbyGrouping-Examples

21. m2 + 2mn + n2 – 49
FactoringbyGrouping-Examples

22. 5x + 10y – 3x2 – 6xy
FactoringbyGrouping-Examples

23. 6y2 – 5xy + 10y3 – 3x
FactoringbyGrouping-Examples

24. FactoringbyGrouping-Assignment
1.) 100 – x2 – 6xy – 9y2
2.) m2 + 4m + 4 – x2 + 2xy – y2
3.) x2 + 2ax + a2 – 144