Algebra I - Unit 7: Topic 2 – Multiplying Polynomials Day 2

8.

Student Notes – Multiplying Polynomials Day 2 pp 490 – 499 Find the product in simplest form.

1. (x − 1)(x + 3) 2. (x + 1)(x + 2)

3. (x − 3)(x − 5) 4. (3x − 2)(x + 4)

5. (2 − y )2 6. (2x + 3y )(x − y )

7. (3x − 5)(2x 2 + 4x − 3) (n + 1)(n 2 + 4n + 5)

9. A square tabletop has side lengths of (4x − 6)

units. Write a polynomial that represents the area of the tabletop. (hint : draw a picture)

Algebra I - Unit 7: Topic 2 – Multiplying Polynomials Day 2

10. The diagram shows the dimensions of a sandbox and the wood frame that surrounds it. Write a polynomial that represents the area of the wooden frame (the shaded part) in simplest form.

11. Find the measure of the volume of the prism in terms of x. Answer in simplest terms.

(x + 3) feet

x feet

(3x + 5) cm (2x2 – 3) feet

x

(x + 1) cm

(3x − 4) cm

12. Write an expression for the area of each shaded region in simplest form.

x + 4 x + 1

x

4x + 6

Algebra I - Unit 7: Topic 2 – Multiplying Polynomials Day 2 Practice – Multiplying Polynomials Day 2 pp 490 – 499 Name ______________________________________ Date _____________________ Period _____________ Answer the following questions. Leave in simplest terms. 1. ( 1)( 4)x x+ + 2. ( 2)( 3)x x+ − 3. Find the area of a rectangle with a length of

(5 1)x + inches and a width of (3 2)x − inches.

4. Find the area of a square with side lengths ( 2 7r q+ ) units.

Find the product in simplest form. 5. 2(1 4 )u− 6. (2 1)( 3)m m+ + 7. (2 5 )(2 5 )x y x y+ − 8. 2( 1)( 4 5)n n n+ + +

Algebra I - Unit 7: Topic 2 – Multiplying Polynomials Day 2 9. Find the area of the shaded region. 10. The length of a rectangle is 8 centimeters less than 3 times the width.

a. Write a polynomial that represents the area of the rectangle in simplest terms.

b. Find the area of the rectangle when the width is 10 centimeters.

Find the product. Write answer in simplest terms. 11. 2(2 5)( 3 1)q q q+ + − 14. 2( 3)( 8 1)w w w− + + 15. You have come up with a plan for building a big wooden jack-in-the-box as shown.

a. Write a polynomial that represents the volume of the box. b. Find the volume of the box when x = 10

(x – 4) cm

(2x + 7) cm

x cm (x + 2) cm

(x +5) in.

(x - 4) in.

−2 3x in.