Factoring Review AMT Step 1 Look for GCF
- Slides: 16
Factoring Review AMT
Step 1. Look for GCF and factor it out to the front o 1. 7 x + 49 o 2. 8 ax – 56 a o 3. t 2 h + 3 t o 4. x + x 2 y + x 3 y 3 o 5. 4 a 2 b 2 + 16 ab + 12 a
Factoring by grouping (only do this when there are 4 terms without a GCF) o o 1. Group the first two terms and the last two terms 2. Pull out a GCF for each group 3. The ( ) should be the same 4. Final answer is the ( ) that are the same and the GCF’s in the second ( )
Examples 6 -8 o 6. x 2 + 3 x + 3 o 7. 2 x 2 + 2 x + 3 o 8. 6 x 2 – 4 x – 3 x + 2
Solving o o 1. Get everything on one side so the equation is set = 0 then factor just like you normally would. 2. Set each factor equal to 0 and solve for the variable
Examples 9 -11 o 9. x(x – 8) = 0 o 10. x 2 – 5 x = 0 o 11. 3 x 2 = 6 x
Trinomials o o 1. Factors of the last term that + or – to give you the middle term 2. Last term + and middle term - ( )( - ) Last term + and middle term + ( + ) Last term – means ( + ) ( - ) o Larger factor goes with the sign of the middle term
Examples 12 -24 o 12. t 2 + 8 t + 12 o 13. p 2 + 9 p + 20 o 14. n 2 + 3 n – 18 o 15. y 2 – 5 y - 6
o 16. x 2 + 4 x -12 o 17. w 2 – w – 6 o 18. x 2 – 8 x + 15 o 19. t 2 – 15 t + 56
o 20. x 2 – 6 x + 8 = 0 o 21. m 2 + 5 m + 6 = 0 o 22. y 2 – 2 y -24 = 0 o 23. h 2 + 2 h = 35 o 24. n 2 – 36 = 5 n
More Trinomials o o o “Beef” it up and “Cut” the fat Same rules as earlier but now we want factors of the product of the first and last terms. Cut out the GCF at the end
Examples 25 -35 o 25. 2 x 2 + 5 x + 2 o 26. 2 x 2 + 9 x – 9 o 27. 2 x 2 + x – 1 o 28. 4 x 2 – 3 x – 3 o 29. 9 x 2 + 6 x – 8
o 30. 3 a o 31. 2 x 2 + 7 x + 3 = 0 o 32. 3 x 2 – 7 x + 2 = 0 o 2 + 30 a + 63
o 33. 6 x 2 + 8 x + 2 = 0 o 34. 9 x 2 + 18 x – 12 = 6 x o 35. 10 x 2 – 15 x = 8 x – 12
Differences of Squares o Factor into ( o + )( - ) Take the square root of each term
Examples 36 -42 o o o o 36. 37. 38. 39. 40. 41. 42. 1 – 49 d 2 t 2 – 81 u 2 64 x 2 – 9 y 2 20 x 2 – 5 y 2 16 x 2 – 9 = 0 36 b 2 – 49 = 0 n 2 – 9 = 0
- Step 1 step 2 step 3 step 4
- Look up, look down, look all around
- Greatest common factor polynomials
- Solving quadratic equations by gcf worksheet
- Ac method for factoring
- Factoring gcf
- Factoring by gcf
- Factoring by gcf
- Gcf warm up
- 7-2 factoring by gcf answers
- Lesson 8-2 factoring by gcf
- Factoring expressions using gcf
- Gcf of 2 and 4
- Factoring polynomials gcf and quadratic expressions
- Quiz 7-2 factoring by gcf
- Amt chapter locations
- Amt learning goals