Polynomials and Factoring

Evaluating Expressions

100

What does the expression 

3x-4

equal when x = 10?

26

200

What does the expression 

(x+4)(x-3)

equal when x = 4?

8

300

What does the expression 

x^2-2x+5

equal when x = 5?

20

400

What does the expression 

2x^2+3x-5

equal when x = 3?

22

500

What does the expression 

x^2+2xy+y^2

equal when x = 2 and y = 1?

9

Adding Expressions

100

Add 

(2x+4)+7

2x+11

200

Add 

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

4x+2

300

Add 

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

5x^2+5x+5

400

Add 

(5x^2+3x-5)+(–x^2+x-3)

4x^2+4x-8

500

Add 

(–4x^2-3x+1)+(–2x^2+4x-3)

–6x^2+x-2

Subtracting Expressions

100

Subtract 

(10x+5)-4x

6x+5

200

Subtract 

(9x+6)-(2x+3)

7x+3

300

Subtract 

(3x^2+4x+7)-(2x^2+2x+5)

x^2+2x+2

400

Subtract 

(2x^2+3x-2)-(x^2+5x-1)

x^2-2x-1

500

Subtract 

(x^2-3x+4)-(3x^2+2x-5)

–2x^2-5x+9

Multiplying Expressions

100

Multiply 

4(x+3)

4x+12

200

Multiply 

2x(x-5)

2x^2-10x

300

Multiply 

(x+2)(x+5)

x^2+7x+10

400

Multiply 

(x-4)(x+3)

x^2-x-12

500

Multiply 

(2x-1)(x+2)

2x^2+3x-2

Factoring Expressions

100

Factor 

x^2+2x+1

(x+1)(x+1)

200

Factor 

x^2+6x+5

(x+5)(x+1)

300

Factor 

x^2+6x+8

(x+4)(x+2)

400

Factor 

(x^2-8x+12)

(x-6)(x-2)

500

Factor 

x^2+2x-15

(x+5)(x-3)