Polynomial Operations

Adding Polynomials

100

(x²+5) + (3x² - x +9)

4x²-x+14

200

(x³+9x+2) + (2x²-4x+5)

x³+2x²+5x+7

300

(-5x³-x²+6x) + (2x³+2x-9)

-3x³-x²+9x-9

400

(8x²+5x+3) + (-x+1+5x²)

13x²+4x+4

500

(5x²-xy+y²) + (6y²-9xy+3xy²)

5x²+3xy²+7y²-10xy

Subtracting Polynomials

100

(3x²+x+1) - (x³+1)

-x³+3x²+x

200

(3x²+x+1) - (x³-3x+2)

-x³+3x²+x-1

300

(5x²+10x) - (2x²+5x-6)

3x²+5x+6

400

(4x²+4x+9) - (2x²+7+6x-3x²)

3x³+2x²+10x+2

500

(-yx²+y²-7x²) - (4x²-8xy+2y²)

-11x²-yx²-y²+8xy

FOIL

100

(x+4)(x+3)

x²+7x+12

200

(x-2)(x-5)

x²-7x+10

300

(x+3)²

x²+6x+9

400

(x+3y)(x-7y)

x²-10xy+21y²

500

(2x+y)(x+4)

2x²+8x+xy+4y

Binomial x Trinomial

100

(x+4)(x²+x+5)

x³+5x²+9x+20

200

(x-2)(x²+3x-4)

x³+x²-10x+8

300

(2x+3)(2x²+3x+4)

4x³+12x²+17x+12

400

(3x+3)(2x²+3x+1)

6x³+15x²+12x+3

500

(2x²-7y)(2x²+3xy-5y)

4x⁴+6x³y-19x²y-21xy²+35y²