Algebra Unit 11 Polynomial Operations
Homework Day 2: Multiplying Polynomials
Name__________________________
Date__________________ Block____
Directions: Find the Product. Write your answers in standard form.
A monomial times a polynomial
1. 𝑥(3𝑥 2 – 2𝑥 + 1)
2. −3𝑚(𝑚2 + 4𝑚 – 1)
3. −3𝑥 5 𝑦 3 (4𝑥 2 𝑦 + 5𝑥 3 𝑦 8 – 3𝑥𝑦 9 )
4. 6𝑥(6𝑥 3 – 3𝑥 + 1) – 5𝑥(2𝑥 2 + 8𝑥 – 4)
5. (4𝑥 + 3)(2𝑥 – 4)
7. (4𝑥 + 6)(4𝑥 – 6)
9. (2𝑥 – 4)(3𝑥 2 − 5𝑥 + 8)
A binomial times a binomial
6. (−2𝑥 + 3)(9𝑥 + 5)
8. (𝑥 + 3)(2𝑥 + 8)
A binomial times a trinomial
10. (5𝑥 + 6)(4𝑥 3 − 2𝑥 − 3)
Find the Quotient: Write your answers in standard form.
11.
12𝑥 3 𝑦 8 −8𝑥 2 𝑦 5 +24𝑥𝑦 3 −36𝑦2
4𝑦 2
12.
24𝑥 4 −30𝑥 3 + 18𝑥 2 −6𝑥
6𝑥
13. Allison has a rectangular garden. The length is four more than twice the width. Write
two expressions (in simplest form) that represent the perimeter and area of the garden.
Perimeter:
Area:
14. You have come up with a plan for building a wooden box to hold all of your sports
equipment as shown.
a. Write a polynomial expression (in simplest form) that represents the volume of the box.
b. Find the volume of the box when x = 10.
24
in
(4x + 8)
in
(3x + 6)
in