Polynomials 3/24/2021

Standard Form

100

9x+5+2x²

2x²+9x+5

200

4x³+7x⁵+2

7x⁵+4x³+2

300

5x²+2x+7+3x⁴+4x⁶

4x⁶+3x⁴+5x²+2x+7

400

6x+x⁷+3x⁴+4x⁹-10

4x⁹+x⁷+3x⁴+6x-10

500

9x⁴-3x+2x⁵-x+12-4x²

2x⁵+9x⁴-4x²-4x+12

Adding Polynomials

100

(2x²+7)+(3x²+4)

5x²+11

200

(5x²+4x+2)+(7x²+9)

12x²+4x+11

300

(10x⁵+3x³+9x+4)+(7x³+2x+15)

10x⁵+10x³+11x+19

400

(3x⁶+x⁴-8x²+5x)+(9x⁵+6x⁴+3x³-8)

3x⁶+9x⁵+7x⁴+3x³-8x²-8

500

(4x⁷-2x⁶+8x⁵+x⁴-7x³+2x-1)+(8x⁷+5x⁶-4x⁵+9x²+3)

12x⁷+3x⁶+4x⁵+x⁴-7x³+9x²+2x+2

Subtracting Polynomials

100

(2x²+7)-(3x²+4)

-x²+3

200

(5x²+4x+2)-(7x²+9)

-2x²+4x-7

300

(10x⁵+3x³+9x+4)-(7x³+2x+15)

10x⁵-4x³+7x-9

400

(3x⁶+x⁴-8x²+5x)-(9x⁵+6x⁴+3x³-8)

3x⁶-9x⁵-5x⁴-3x³-8x²+5x+8

500

(4x⁷-2x⁶+8x⁵+x⁴-7x³+2x-1)-(8x⁷+5x⁶-4x⁵+9x²+3)

-4x⁷-7x⁶+12x⁵+x⁴-7x³-9x²+2x-4

Multiplying Polynomials

100

x(x+4)

x²+4x

200

2x(5x+9)

10x²+18x

300

(x+7)(x+3)

x²+10x+21

400

(8x+6)(3x-4)

24x²-14x-24

500

(5x²+2)(9x+10)

45x³+50x²+18x+20

Factoring Polynomials

100

2x³+8x

2x(x²+4)

200

12x⁴+20x²+8

4(3x⁴+5x²+2)

300

x²+20x+91

(x+7)(x+13)

400

x²+8x-33

(x-3)(x+11)

500

35x³+21x²+25x+15

(5x+3)(7x²+5)