SWBAT: Multiply Polynomials
Lesson 10-3
Do Now:
1)
Match each situation with an appropriate domain.
1) Time _______________
A) {...-2, -1, 0, 1, 2, …}
2) The number of cars in your driveway
B) {0, 1, 2, 3}
__________
3) The number of stars in the Universe
C)  ≥ 0
___________
4) Temperature to the nearest whole degree
D) {0, 1, 2, 3…}
______
2)
The Blue Gummy Bear asked the Orange Gummy
Bear is the sum 0f 4.2 and 2 rational or
irrational?
Blue Gummy Bear answered that the sum would be
irrational.
State whether the Blue Gummy Bear is correct or
incorrect.
Justify your reasoning.
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SWBAT: Multiply Polynomials
Lesson 10-3
Product of Monomial and Polynomial
The Distributive Property can be used to multiply a monomial by a polynomial. Multiply
horizontally and combine like terms.
1) Monomials are the simplest of the polynomials. They consist of one term (terms are
separated by addition and subtraction.) Find the product of the monomials.
a)
b)
c)
 3​x​ 3​ ​ 8​​ x​ 2​
5​ x​ 3​  2​ x​ 2​
1​ 3​ 3​
x​  x​
3​ 4​
Multiplying Monomials with Polynomials using the distributive property:
Simplify and write the answer in standard form.
2)
3)
x(x2 + 5x)
4)
x(2x3 – 9x2)
5)
2x(3x2 – 3x + 4)
-3x(x2 + 2x - 5)
Quick C heck for understanding
6)
7)
- 4x(2x2 – 3)
More complicated Multiplying
8)
x(x + y) – y(x + y)
4x(x2 + 3x3 – 1)
9)
5x(3x – 2) – x(1 – 3x)
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SWBAT: Multiply Polynomials
Lesson 10-3
Multiplying Binomials
Multiplying a binomial by a binomial using the distributive property
10)
(x + 3)(x + 6)
Horizontal Method
Vertical Method
Chart Method
11)
(x + 3)(x + 5)
12)
13)
(x – 7)(x – 7)
(x – 4)(x – 2)
3
SWBAT: Multiply Polynomials
Lesson 10-3
14)
15)
(x – 1)(x + 5)
(x + 4)(x – 5)
Quick C heck for understanding
16)
17)
(x + 8)(x + 20)
18)
(x – 7)(x + 9)
(x – 4)(x – 12)
Multiple Choice Mixed Practice
19)
20)
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SWBAT: Multiply Polynomials
Lesson 10-3
21)
C hallenge Questions
22)
Write a polynomial that represents the area of the
shaded region.
23)
Write two polynomials that are not monomials, whose product is a trinomial of degree 4.
5
SWBAT: Multiply Polynomials
Lesson 10-3
LESSON PRACTICE
Use the Distributive Property to find the product.
3. (x + 1)(x + 3)
5. (z − 5)(z + 3)
6. (a + 8)(a − 3)
Use a table to find the product.
11. (x + 3)(x + 2)
12. (y + 10)(y − 5)
13. (h − 8)(h − 9)
6
SWBAT: Multiply Polynomials
Lesson 10-3
LESSON PRACTICE ANSWERS
7