Ms. Mathisen's Factoring

Classifying Polynomials

100

7p+1

Linear Binomial

200

7

Contant Monomial

300

4a³-8

Cubic Binomial

400

2v+v²-5

Quadratic Trinomial

500

2m⁴-7m²-5m+1

Quartic Polynomial

Monomial x Polynomial

100

x(x+4)

x²+4x

200

9a(a-1)

9a²-9a

300

x(x²-x+3)

x³-x²+3x

400

p²q²(p⁵q³-4pq)

p⁷q⁵-4p³q³

500

10m⁴n(-2mn³+3n)

-20m⁵n⁴+30m⁴n²

Factoring GCF

100

3x+12

3(x+4)

200

5x+30y

5(x+6y)

300

5x-13y

PRIME

400

6y⁴+14y³-10y²

2y²(3y²+7y-5)

500

3a³b²c-9a²b³c²+15ab⁴c³

3ab²c(a²-3abc+5b²c²)

Difference of Squares

100

a²-4

(a+4)(a-4)

200

16a²-121

(4a-11)(4a+11)

300

4h²-25g²

(2h-5g)(2h+5g)

400

64u²+9v²

PRIME

500

m³n-mn

mn(m²-1)

mn(m+1)(m-1)

Factoring Trinomials

100

w²+9w+18

(w+6)(w+3)

200

c²+4c-45

(c+9)(c-5)

300

b²-2b-63

(b-9)(b+7)

400

p²-14p+40

(p-10)(p-4)

500

5x²y-15xy-140y

5y(x²-3x-28)

5y(x-7)(x+4)