Operations with Polynomials

Adding Polynomials

100

(5x^2+3x -6) + (3x^2 -x + 5)

8x^2 -2x -1

200

(x^2 -x +5) + (6x^2 +2x -10)

7x^2 + x -5

300

(4y^2 + 8y -12) + ( 3y^3 - 13y +5)

3y^3 +4y^2 -5y-7

400

(6a^3+12a^2-15a)+(4a^2 - 12a +8)

6a^3 +16a^2 -27a +8

500

(3x^2 -5x +7) + (x^2 + 2x -1)

4x^2 -3x +6

Subtracting Polynomials

100

(5x^2 +3x-6)-(3x^2 -x +5)

2x^2 +4x-11

200

(a^3-2a^2)-(3a^2-4a^3)

5a^3-5a^2

300

(6x^2 -3x +4)-(-2x^2 +2x-2)

8x^2 -5x +6

400

(5x - 2) - (7x -3)

-2x +1

500

 

(3x^2 +8x-4)-(2x^2+5x-9)

x^2 +3x +5

Multiplying Polynomials

100

Distribute

4(7x - 4)

28x-16

200

 

(4x)(3x^2+4x+10)

12x^3 +16x^2 +40x

300

 

(2x+1)(-3x+5)

-6x^2+7x+5

400

(x+3)(x^2+2x+4)

x^3+15x^2+10x+12

500

(x+5)(x^2 -2x+9)

x^3-2x^2+9x

Factoring (a=1)

100

Factor:

x^2-3x-4

(x-4)(x+1)

200

Factor

x^2-2x-24

(x-6)(x+4)

300

Factor

x^2-16

(x-4)(x+4)

400

Factor

x^2-3x-54

(x-9)(x+6)

500

Factor

x^2+38x+352

(x+16)(x+22)

Factoring (a /=1)

100

Factor

2x^2-14x+24

2(x-3)(x-4)

200

Factor

-4x^2-20x-16

-4(x+1)(x+4)

300

Factor

2x^2+19x+35

(2x+5)(x+7)

400

Factor

4x^2+33x-27

(4x-3)(x+9)

500

Factor

12x^2-21x-6

(3x-6)(4x+1)