1. Bell Work
Get out your bell work paper Write (scrap paper project) for Tuesday’s bell work Wait for instructions

2. Objective The student will be able to:
Multiply monomials and two polynomials using the distributive and FOIL methods

3. Parts of exponential form
base
exponent

4. The Invisible Exponent
When an expression does not have a visible exponent its exponent is understood to be 1.

5. Expanded Form

6. Expanded Form

7. Product of Powers Rule
a3 • a2 = a3+2 = a5

8. Multiplying Monomials
If the monomials have coefficients, multiply those, but still add the powers.

9. Multiplying Monomials
These monomials have a mixture of different variables. Only add powers of like variables.

10. Multiplying Monomials
x(5x – 4)
5x2
- 4x

11. x(3x + 1)
3r3(4r - 3)
2x4 (x2 + 3)

12. Multiplying a Monomial - Distribute
5y(y + 3)
2n2(n3 + 5n)
y2(5y4+ 2)
2x(x2 – 6x + 5)
5y2 + 15y
2n5 + 10n3
5y6 + 2y2
2x3 – 12x2 + 10x

13. Multiply (y + 4)(y – 3) y2 + y – 12 y2 – y – 12 y2 + 7y – 12

14. Multiplying Binomials
What are Binomials?
(3x – 2)(2x + 7)

15. FOIL reminds you to multiply the:
First terms
Outer terms
Inner terms
Last terms

16. Use FOIL (y + 3)(y + 7).

17. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial.

18. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial.

19. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial.
y2 + 7y + 3y

20. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial.
y2 + 7y + 3y + 21
Combine like terms.
y2 + 10y + 21

21. Multiply (2a + 3)(2a + 4) 4a2 + 14ab – 12b2 4a2 – 14ab – 12b2
4a2 + 8ab – 6ba – 12b2
4a2 + 2ab – 12b2
4a2 – 2ab – 12b2

22. Multiply (2p + 1)(p2 – 3p + 4) 2p3 + 2p3 + p + 4 y2 – y – 12

23. The End

24. Group and combine like terms.
5) Multiply (2x - 5)(x2 - 5x + 4)
You cannot use FOIL because they are not BOTH binomials. You must use the distributive property.
2x(x2 - 5x + 4) - 5(x2 - 5x + 4)
2x3 - 10x2 + 8x - 5x2 + 25x - 20
Group and combine like terms.
2x3 - 10x2 - 5x2 + 8x + 25x - 20
2x3 - 15x2 + 33x - 20

25. 5) Multiply (2x - 5)(x2 - 5x + 4) You cannot use FOIL because they are not BOTH binomials. You must use the distributive property or box method. x2
-5x +4 2x -5
2x3
-10x2
+8x
Almost done!
Go to the next slide!
-5x2
+25x
-20

26. 5) Multiply (2x - 5)(x2 - 5x + 4) Combine like terms!+4 2x -5
2x3
-10x2
+8x
-5x2
+25x
-20
2x3 – 15x2 + 33x - 20