Algebra 1: Chapter 9: Polynomials & Factoring

Adding & Subtracting Polynomials

100

Simplify by adding or subtracting and write your answer in Standard Form: (5x^3+3x^2-7x+10)-(3x^3-x^2+4x-1) 

2x^3+4x^2-11x+11

200

Simplify by adding or subtracting and write your answer in Standard Form: (4m^3+7m-4)+(2m^3-6m+8) 

6m^3+m+4

300

Simplify by adding or subtracting and write your answer in Standard Form: (3v^2-9v^3+6v)+(7v-4v^2-10v^3) 

-19v^3-v^2+13v

400

Find the expression for the perimeter of the rectangle with side lengths: 4k-3 and 2k+2 

12k-2

500

Find the expression for the perimeter of the triangle with side lengths: 2t^2,4t-3, and 10-2t 

2t^2+2t+7

Multiplying & Factoring

100

Simplify the following in Standard Form: 4b(b^2+3) 

4b^3+12b

200

Simplify the following in Standard Form: 2m^2(m^3+m-2) 

2m^5+2m^3-4m^2

300

Simplify the following in Standard Form: -x(1+x+x^2) 

-x^3-x^2-x

400

Find the GCF of the polynomial and then factor it out and write in Standard Form: 16c^2-4c^3+12c^5 

4c^2(3c^3-c+4)

500

Find the GCF of the polynomial and then factor it out and write in Standard Form: 4d^8-2d^10+7d^4 

d^4(-2d^6+4d^4+7)

Multiplying Binomials & Trinomials

100

Simplify the product and write in Standard Form: (3x-1)(2x+1) 

6x^2+x-1

200

Simplify the product and write in Standard Form: (5c+3)(-c+2) 

-5c^2+7c+6

300

Simplify the product and write in Standard Form: (5t+4)^2 

25t^2+40t+16

400

Simplify the product and write in Standard Form: (w+2)(2w^2+2w-8) 

2w^3+6w^2-4w-16

500

Suppose there are two squares, one with side lengths of 4x-3 and 2x+4. Write and expression for the area of each square. Find the area of each square if  x=6 cm.

4x-3: 16x² - 24x + 9 = 441cm²
2x+4: 4x² + 16x + 16 = 256cm²

Factoring Trinomials: x^2+bx+c

100

Factor the expression completely: x^2-4x+3 

(x-3)(x-1)

200

Factor the expression completely: m^2+9m-22 

(m+11)(m-2)

300

Factor the expression completely: p^2-2p+1 

(p-1)^2

400

Factor the expression completely: 4x^2-16x+12 

4(x-3)(x-1)

500

Factor the expression completely: 2m^2-50 

2(m+5)(m-5)

Factoring Trinomials: ax^2+bx+c

100

Factor the expression completely: 5x^2-x-18 

(5x+9)(x-2)

200

Factor the expression completely: 12x^2-5x-2 

(3x-2)(4x+1)

300

Factor the expression completely: 4y^2-121 

(2y+11)(2y-11)

400

A rectangle has an area of 10w^2-9w-40. What are the of the length and width.

(5w+8),(2w-5)

500

A rectangular prism has a volume of 6t^3+44t^2+70t. What are the dimensions of the prism?

2t,(3t+7),(t+5)