Polynomials

Adding Polynomials

100

(x-2) + (2x+5)

3x +3

200

(2x²+3x+6) +(3x² -4)

5x² +3y + 2

300

(2x²+3x+9) +(-x² -4x -6)

x²-x+3

400

(x⁴+5x²-2x+1) +(2x⁴ +x³+2x -7)

3x⁴+x³+5x²-6

500

(-x²+5x+2) +(-3x² +x-9)

-4x²+6x-7

Subtracting Polynomials

100

(5x-5) - (x+7)

4x-12

200

(12+5x+14x²)-(8x+15-7x²)

21x²-3x-3

300

10x-(7x-1)

3x+1

400

(8x²-3x+6)-(-2x²-3)

10x²-3x+9

500

(-3x² +2x-7)-(2x²-2x+7)

-5x²+4x-14

Multiplying Polynomials

100

(x+6)²

x²+12x+36

200

(x-2)(x-3)

x²-5x+6

300

(4x+1)(x+3)

4x²+13x+3

400

(2x+3)(x-1)

2x²+x-3

500

(6x-2)(5x+1)

30x²-4x-2

Factoring by GCF

100

36x+9

9(4x+1)

200

4x⁵-6x³+10x²

2x²(2x³-3x+5)

300

15x²+10x-5

5(3x²+2x-1)

400

What is the GCF?

Greatest Common Factor the greatest number and/or variable that divides into each term

500

25x²y²+150xy²-75x²y-25xy

xy+6y-3x-1

Factoring by Grouping

100

x²+22x+121

(x+11)(x+11) or (x+11)²

200

x²-169

(x+13)(x-13)

300

x²+9x-36

(x+12)(x-3)

400

12x²-11x+2

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

500

3x²+17x-28

(3x-4)(x+7)