Polynomials

Adding and Subtracting

100

(9x^2-6)+(-5x^2+19)

4x^2+13

200

(15h^2-25)-(11h^2-17)

4h^2-8

300

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

x^2+4x-4

400

(3n^2+18n-9)-(4n^2-11n+6)

-n^2+29n-15

500

(12x^3-4x)+(3x^3+4x)-(x^3+15x-11)

14x^3-15x+11

Multiplying

100

5x(4x-6)

20x^2-30x

200

3x^2y(4xy^2-5x^3y^2)

12x^3y^3-15x^5y^3

300

(4x-3)(x-6)

4x^2-27x+18

400

(3x+7)^2

9x^2+42x+49

500

(2n+4)(3n^2-9n+10)

6x^3-6x^2-16x+40

LCM & GCF

100

What is the LCM of the following monomials:

x^3y^7 and x^5y^2

x^7y^5

200

What is the GCF of the following monomials?

8x^4y^4 and 12x^3y^9

4x^3y^4

300

Factor out a GCF and write in factored form.

18fg^2+20fg

2fg(9g+10)

400

What is the LCM of the following monomials?

14x^6y^2 and 12x^3y and 48x^4

336x^6y^2

500

Factor out a GCF and write in factored form.

12x^3y^6+24x^4y^3-30x^2y^5

6x^2y^3(2xy^3+4x^2-5y^2)

Factoring

100

x^2+8x-33

(x+11)(x-3)

200

x^2-81

(x+9)(x-9)

300

x^2-11x-42

(x+3)(x-14)

400

5x^2-500

5(x+10)(x-10)

500

4x^3-4x^2-48x

4x(x+3)(x-4)

Polynomial Division (double points)

100

(x^2+9x+20)/(x^2-16)

(x+5)/(x-4)

200

(2x+16)/(x^2+11x+24)

2/(x+3)

300

(2x^2+24x-90)/(2x^2-2x-24)

(x+15)/(x+4)

400

(6x^2-6)/(12x+12)

(x-1)/2

500

(4x^4-56x^3)/(2x^3-24x^2-56x)

(2x^2)/(x-2)