1. Check it out! 1.2.2: Multiplying Polynomials
1.2.2: Multiplying Polynomials

2. A carpet installer charges different prices based on the size of the room where the carpet is being installed. Iskra wants to have the same carpet installed in her bedroom, living room, and hall. To determine the cost, she first needs to determine the area of each rectangular room. The area of a rectangle is the product of the rectangle’s length, l, and width, w: area = lw. Find the area in simplest form for each of the three rooms Iskra wants to have carpeted.
Common Core State Standard: A–APR.1
1.2.2: Multiplying Polynomials

3. The bedroom has a length of 12 feet and a width of 8 feet.
The living room has a length of 12 feet and a width of 9 feet.
The hall has a length of x2 feet and a width of x feet.
1.2.2: Multiplying Polynomials

4. The bedroom has a length of 12 feet and a width of 8 feet.
Replace l and w in the formula for area with the given values of l and w.
area = lw
area = 12 • 8
area = 96
The area of the bedroom is 96 ft2.
1.2.2: Multiplying Polynomials

5. The living room has a length of 12 feet and a width of 9 feet.
Replace l and w in the formula for area with the given values of l and w.
area = lw
area = 12 • 9
area = 108
The area of the bedroom is 108 ft2.
1.2.2: Multiplying Polynomials

6. The hall has a length of x2 feet and a width of x feet.
Replace l and w in the formula for area with the given values of l and w.
area = lw
area = x2 • x
Use the properties of exponents to simplify the answer. Since the two factors have the same base, x, add the exponents.
area = x2 + 1
area = x3
The area of the hall is x3 ft2.
Connection to the Lesson
Students will extend their understanding of finding products to finding products of polynomials.
Students will need to replace variables in a formula with given quantities.
Students will simplify expressions by using properties of exponents and multiplication.
1.2.2: Multiplying Polynomials