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# 9-2-Mult-polynom-foil.ppt

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# 9-2-Mult-polynom-foil.ppt

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### 9-2-Mult-polynom-foil.ppt

1. 1. f g u i l b e r t 9.2 Multiplying Polynomials
2. 2. f g u i l b e r t Review - Simplify 3x + 2y + 5x - 4y x2 - 2x + 5x2 - 4x 2x2 - 5x + x2 +3x-7 7a + 5b- (3a + b)
3. 3. f g u i l b e r t answers 3x + 2y + 5x - 4y 8x - 2y x2 - 2x + 5x2 - 4x 6x2 - 6x
4. 4. f g u i l b e r t answers 2x2 -5x + x2 +3x -7 3x2 - 2x - 7 7a + 5b - (3a + b) 7a + 5b -3a - b 4a + 4b
5. 5. f g u i l b e r t Objective •To multiply monomials and binomials. •To use the FOIL method to expand two binomials.
6. 6. f g u i l b e r t A monomial has 1 term. -3 X 5X2 monorail 1 rail
7. 7. f g u i l b e r t A binomial has 2 unlike terms. 2X - 3 x + b X2 - X n + 3 bicycle
8. 8. f g u i l b e r t A trinomial has 3 unlike terms. x2 + 2x - 5 x + xy + y triangle 3 sides
9. 9. f g u i l b e r t Multiply x ( 4x ) = 4 X2 3 ( 5x ) = 15 x
10. 10. f g u i l b e r t 5x ( X + 2) Distribute = 5x2 + 10x -3 (X - 2) = -3X + 6
11. 11. f g u i l b e r t Tile models can be used to visualize a product. Think of area.
12. 12. f g u i l b e r t X X A = l w X2 1 X x•x = x2 1•x = x 1 1 1•1= 1 x 1
13. 13. f g u i l b e r t + + A = (X + 2)(X + 3) Find an eq. for this tile model of area.
14. 14. f g u i l b e r t (X + 3)(X +2) F irst O uter I nner L ast to multiply
15. 15. f g u i l b e r t (X + 3)(X +2) X2 F +2X O +3X I +6 L X2 + 5X + 6
16. 16. f g u i l b e r t + + (X+2)(X+3)=X2+5X+6 X2 X X X x x 111 111 The product matches the model.
17. 17. f g u i l b e r t Draw an area tile model to show: Your Turn ( X + 1)( X + 4 ) x +4 x + 1 draw the lines
18. 18. f g u i l b e r t + + A = (X + 1)(X + 4)
19. 19. f g u i l b e r t (X + 1)(X + 4) X2 First +4X Outer +1X Inner +4 Last X2 + 5X + 4 Expand
20. 20. f g u i l b e r t Expand (x + 3)(x -5) X2 F O I L -5X +3X -15 X2 - 2X - 15
21. 21. f g u i l b e r t Expand (x + 3)2= (x +3)(x + 3) x2 +3x + 3x + 9 x2 +6x + 9
22. 22. f g u i l b e r t Expand (x + 4)(x - 3) First x2 Outer -3x Inner 4x Last -12 = x2 - 3x + 4x - 12 = x2 + x -12 Your Turn
23. 23. f g u i l b e r t Multiply (x - 2)(x - 3) X2 -3X -2X +6 = X2 - 5X + 6 foiled again !
24. 24. f g u i l b e r t Find (3x -2)(2x +3) F 6X2 O +9X I -4X L -6 = 6X2 +5X - 6
25. 25. f g u i l b e r t ( 5 + √7 ) (√7 - 2) = _ _ 5 √7 - 10 + 7 - 2 √7 = F O I L _ _ combine like terms 3 √7 - 3
26. 26. f g u i l b e r t (w + 3) (w - 3)= You try these (2x + 5) (x - 2)=
27. 27. f g u i l b e r t (2x + 5) (x - 2) = 2x2 - 4x + 5x - 10 First Outer Inner Last 2X2 + X - 10
28. 28. f g u i l b e r t (w + 3) (w - 3) w2 – 3w + 3w - 9 = = w2 - 9
29. 29. f g u i l b e r t (3 - 5rs) (2r + 5s) = 6r + 15s - 10r2s - 25rs2 Last one Curses ! Foiled Again
30. 30. f g u i l b e r t Do your homework! The key to freedom is courage.