1. 3x + 6x2 – 10 + 9x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4)
Warm-Up
3x + 6x2 – x2 + 2x
5x2y + 3xy – 8x2y + 6xy
(2x2)(-4x3)
2(x + 4)
7(12 + 3x) – 10
15x2 + 5x - 10
-3x2y + 9xy
3x2
-8x5
2x + 8
21x + 74

2. What methods can we use to multiply polynomials?
Algebra 1
Today’s Question:
What methods can we use to multiply polynomials?
Standard: MCC9-12.A.APR.1

3. Classifying Polynomials
Objective: To classify polynomials by degree and by number of terms
Example of a Polynomial
Degrees
Constant
Coefficients

4. Vocabulary Degree: is the exponent for each variable.
Degree of the polynomial: is the largest exponent of the polynomial.
Leading coefficient: is the coefficient of the first term.
Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.

5. Example: Write the polynomials in Standard form/descending order
Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1.
Degree is 7
Leading coefficient is 3 2.
Degree is 4
leading coefficient is –2

6. Classifying Polynomials By Degree Degree Example
Constant 6 -3
Linear 1
3x + 4
-7x + 2
Quadratic 2
Cubic 3
Quartic 4

7. Classifying polynomials By # of terms # of terms Example
Monomial 1 3x
Binomial 2
3x + 1
Trinomial 3
Note: Any polynomials with four or more terms are just called polynomials

8. Multiplying Polynomials Monomial x Polynomial

9. (5)(x + 6)

10. (x2)(x + 6)

11. (-2x)(x2 – 4x + 2)

12. Multiplying Polynomials Binomial x Binomial or Trinomial

13. Genetics
Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed. F f Ff ff
We will use something like a Punnett Square today to help us learn how to multiply polynomials!!

14. Multiplying Polynomials
Using the distributive property

15. Notes - Multiplying Polynomials
F - First
O - Outside
I – Inside
L - Last
(z + 5) (z + 3)

16. (x - 2) (x + 4)

17. (x + 9) (x – 3)

18. (x + 3) (x – 3)

19. (2x + 5)(x + 6)

20. (3x – 1)(2x – 4)

21. (5b – 6)(3b2 – 2b + 5)

22. Find the area of the rectangle.

23. Find the area of the rectangle.

24. Find the volume.

25. Why is a stick of gum like a sneeze?
Practice
Why is a stick of gum like a sneeze?

26. Homework Practice Worksheet