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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Warm-Up Find the product (x+2)(x+6) (x+7)(x-1) (x-3)(x-5) Factor using a GCF 3x 2 -48

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.

Page 1: 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

Page 2: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -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)

Page 3: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

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)

Page 4: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

SECTION 8.5 FACTORING AX2+BX+C

SWBAT to factor trinomials with a=1

Page 5: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

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

Page 6: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

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

Page 7: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.
Page 8: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

When can you use the Add/Multiply Method? Do you have a trinomial? Is a=1?

Page 9: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

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

Page 10: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

Example

Factor x2 + 9x + 18

Page 11: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

Example

Factor x2 - 4x + 4

Page 12: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

Example

Factor 3x2 +3x -18

Page 13: Warm-Up  Find the product  (x+2)(x+6)  (x+7)(x-1)  (x-3)(x-5)  Factor using a GCF  3x 2 -48.

Example

Factor x2 + 7x + 21