Factoring Pt 1

Factoring Monomials

100

Write prime factorization: 34x⁴y³

2*17*x*x*x*x*y*y*y

200

Write prime factorization: 20x³y²

2*2*5*x*x*x*y*y

300

Write prime factorization: 38rp³t²

2*19*r*p*p*p*t*t

400

Write prime factorization: 95xy²

5*19*x*y*y

500

Write prime factorization: 23ab³

23*a*b*b*b

Find the GCF

100

Find the GCF: 7xy, 14yz

7y

200

Find the GCF 24cd³, 48c²d

24cd

300

Find the GCF: 8x²y⁵, 31xy³

xy³

400

Find the GCF: 25x³, 45x⁴, 65x²

5x²

500

Find the GCF: 12qr, 8r³, 16rt

4r

Factoring Polynomials

100

Factor: 15w-12v

3(5w - 4v)

200

Factor 27y² + 18y

9y(3y + 2)

300

Factor 16t - 40y

8(2t - 5y)

400

Factor: 7u²t² + 21ut² - ut

ut(7ut + 21t -1)

500

Factor 5c²v - 15c²v² + 5c²v³

5c²v(1 -3v + v³)

Factor by Grouping

100

Factor: rn + 5n + 2r +10

(n + 2)(r + 5)

200

Factor: a² -4a + 6a - 24

(a + 6)(a - 4)

300

Factor: xy - 2x + y - 2

(x+1)(y-2)

400

Factor: 3np + 15p - 4n - 20

(n + 5)(3p - 4)

500

Factor: 9fg + 45f - 7g - 35

(g + 5)(9f - 7)

Factor Trinomials

100

Factor: x² + 14x + 24

(x + 12)(x + 2)

200

Factor: x² - 5x - 36

(x - 9)(x + 4)

300

x² - 25x - 54

(x - 27)(x + 2)

400

x² + 9x - 90

(x + 15)(x - 6)

500

2x² - 13x + 15

(2x - 3)(x - 5)