Chapter 2: Pt. 2

GCF

100

Tell me the GCF, then factor it out of the equation: 2x²+4x+6 

GCF=2

2(x²+2x+3)

200

Tell me the GCF, then factor it out of the equation:6x³−9x²+15x

GCF=3x

3x(2x²−3x+5)

300

Tell me the GCF, then factor it out of the equation: 24x⁵y²z³−36x⁴y³z⁴+48x³y⁴z⁵

GCF=12x³y²z³

12x³y²z³(2x²−3xyz+4y²z²)

Factor: Coefficient>1

100

Factor: 2x²+13x−7

(2x−1)(x+7)

200

Factor: 3x²+x−4

(3x+4)(x−1)

300

Factor: 16b2−22b−3

(8b+1)(2b−3)

Parts of polynomials

100

Find the GCF, Coefficients and Prime factorization of: 6x⁴+2x³-8x

GCF=2x

Coefficients=6, 2, -8

Prime factorization:

-6=2*3

-2=1*2

-8=2*2*2

200

Find the GCF, Coefficients and Prime factorization of: 16x⁵-4y³+2x³-8

GCF=2

Coefficients=16,4,2

Prime factorization:

-16=2*2*2*2

-4=2*2

-2=2*1

-(-)8=2*2*2

300

Find the GCF, Coefficients and Prime factorization of: 4x⁵−7x⁴+3x³−9x²+2x−11 

GCF= 1

Coefficients= 4, -7, 3, -9, 2

Prime factorization:

-4=2*2

-(-)7=1*7

-3=1*3

-(-)9=3*3

-2=2*1

-(-)11=1*11

Factor: coefficient of 1

100

Please factor: x²+5x+6 

(x+2)(x+3)

200

Factor: x²−7x−18 

(x-9)(x+2)

300

Factor: x²+15xy+54y²

(x+9y)(x+6y)