polynomials

adding and subtracting

100

x+2 + 3x +5

4x +7

200

3x² + 4x +5 + 2x² +1x +6

5x² +5x +11

300

(x³+2x +1)+ 

(x² +3x)

(x³+x²+5x +1)

400

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

2x+1

500

(4x² +4x -3) 

- (5x² +3x -4)

-x² +x +1

products

100

x(x+4)

x²+4x

200

5(x+4)

5x+20

300

2x(4+x)

8x+2x²

400

3x(3x²+4x)

9x³+12x²

500

-4x(6x³-2x)

-24x⁴ + 8x²

binomials

100

(x+2) (x-4)

x² -2x -8

200

(x+3) (x-7)

x²-4x-21

300

(2x+3) (2x+5)

4x²+16x +15

400

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

20x² -23x+6

500

(3x-2)(4x-7)

12x² -29x +14

Factoring

100

What is the prime factorization of 28

2 • 2 •7

200

What is the GCF in 4x² +16x

4x

300

What is the GCF of 3x³ + 6x +12

3

400

Factor 4x³ +8x²

4x²(x +2)

500

Factor completely

x⁴ + 8x² -6x

x(x³ +8x-6)

Special Cases

100

What is (x+1)² ?

x² +2x +1

200

What is (x-3)(x+3)

x² - 9

300

What is (x-4)²

x² -8x +16

400

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

4x² -9

500

(4x+6)²

16x² + 48x +36