Warm-Up Find the product (x+2)(x+6) (x+7)(x-1) (x-3)(x-5) Factor using a GCF 3x 2 -48.
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Transcript of Warm-Up Find the product (x+2)(x+6) (x+7)(x-1) (x-3)(x-5) Factor using a GCF 3x 2 -48.
Warm-Up
Find the product (x+2)(x+6) (x+7)(x-1) (x-3)(x-5)
Factor using a GCF 3x2 -48
Homework Review Factoring with a GCF WS 1. 3 2. 3a2
3. 3xy 4. 5a2b 5. 5(a2-3) 6. 7(x+7) 7. 2y(1+3x) 8. 8a(x-7) 9. 12xy(3y-4x)
10. 15bc3(5b+4c3) 11. 8(8-5ab) 12. 9(9-4xy) 13. t(th+3) 14. 6(p-12) 15. 3r(27+16s) 16. c2(5c-2) 17. 2e(41e2-61f) 18. 5q(2-5q) 19. xy(y+1)
Homework Review
20. 15cd(1+2cd) 21. a(ab2+1) 22. 3rs(2r-s) 23. l(l-9) 24. 4(d2+4) 25. 6z3(z-3) 26. 4p2(5-4q2) 27. 6(m4-10) 28. 7a2(a+2) 29. 4wv2(4v2+3w2)
30. 3c2d3(3c2-2d) 31. 3y(2+5y) 32. 5x2y(6x+7y) 33. ef(6e2-11) 34. 5rs2(4r2+5s) 35. 17x2y3(2x2-y2) 36. 35m2n(m+3n2) 37. 2d2e2(1-4d4e4)
SECTION 8.5 FACTORING AX2+BX+C
SWBAT to factor trinomials with a=1
Review: Multiply (x + 5)(x + 2)
x +5
x
+2
x2
2x
5x
10
Notice: 2 and 5 add to get 7 and multiply to get 10
x2 +5x+2x+10
x2+7x+10
Review: Multiply (x - 3)(x + 4)
x 4
x
-3
x2
-3x
4x
-12
Notice: -4 and 3 add to get -1 and multiply to get -12
x2 +4x-3x-12
X2+x-12
When can you use the Add/Multiply Method? Do you have a trinomial? Is a=1?
Steps for the Add/Multiply Method Step 1: Factor out a GCF if possible Step 2: Find two numbers that add to get
b and multiply to get c Step 3: Write as a product Step 4: Check your answer
Example
Factor x2 + 9x + 18
Example
Factor x2 - 4x + 4
Example
Factor 3x2 +3x -18
Example
Factor x2 + 7x + 21