Polynomials and Factoring

Factor By Grouping

100

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

(4x-3)(x+4)

200

8y(y-9)+1(y-9)

(8y+1)(y-9)

300

2x^2+8x+10x+40

(2x+10)(x+4)

400

x^3+x^2+2x+2

(x^2+2)(x+1)

500

5(4x^2+16x)+(9x+36)

(20x+9)(x+4)

Find the GCF

100

5x+5y

5(x+y)

200

3xz+3yz

3z(x+y)

300

x^5+180x^2

x^2(x^3+180)

400

12x^4+6x^3+8x^2

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

500

4x^3 y^2 z+ 8x^2 y z^3

4x^2 y z (xy+2z^2)

Find the Name

100

5x^2

Quadratic Monomial

200

10x+9y+5z

Linear Trinomial

300

15x^2-25x

Quadratic Binomial

400

8z^4+3y+2x

Quartic Trinomial

500

5xy^4+2xy^3+7x^2 z +3yz

Quintic Polynomial