Polynomials & Factoring

Subtracting Polynomials

100

(4x-2)-(7x+6)

-3x-8

200

(5x+3)-(2x-8)

3x+11

300

(3a²+ 1) − (4 + 2a²)

a²-3

400

(10xy+4x-7)-(3x-4)

10xy+x-3

500

(8x²+4x-7)-(2x²+9x+3)

6x²-5x-10

Adding Polynomials

100

(5a+4)+(5a+3)

10a+7

200

(4 + 2n³) + (5n³ + 2)

7n³+6

300

(2x²+3x+2)+(3x²-5x-1) 

5x²-2x+1

400

(-x⁴+13x⁵+6x³)+(6x³+5x⁵+7x⁴)

18x⁵+6x⁴+12x³

500

(−4k⁴+ 14 + 3k²) + (−3k⁴ − 14k²− 8)

-7k⁴-11k²+6

Multiplying Polynomials

100

-4(v+1)

-4v-4

200

7(-5v-8)

-35v-56

300

(3x⁵)(5x²)

15x⁷

400

(4p-1)²

16p²-8p+1

500

(6k+5)(5k+5)

30k²+55k+25

GCF & Grouping

100

GCF: -9x²-21x

-3x(3x+7)

200

Grouping: 3n³-4n²+9n-12

(n²+3)(3n-4)

300

GCF: -25x⁴+5x

5x(-5x³+1)

400

Grouping: 3x²-2x-9x+6

(3x-2)(1-3)

500

GCF: 81b-90b²-27b³a4

9b(9-10b-3a⁴b²)

AC Method & Difference of squares

100

AC Method: 3p²-2p-5

(3p-5)(p+1)

200

Diff Of Squares: x²-9

(x+3)(x-3)

300

AC Method: 6x²+5x-6

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

400

Diff Of Squares: 80x²-125

5(4x+5)(4x-5)

500

AC Method: 16b²+60b-100

4(b+5)(4b-5)