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Factoring Trinomials with GCF

Total questions: 11

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

Full Name

4 lines
2.

Do GCF first then factor the polynomial:  2a2+10a+82a^2+10a+8  

a)

 (a+5)(a+2)\left(a+5\right)\left(a+2\right)  

b)

 2(a+4)(a+1)2\left(a+4\right)\left(a+1\right)  

c)

 2(x+2)(x+2)2\left(x+2\right)\left(x+2\right)  

d)

 (x+4)(x+2)\left(x+4\right)\left(x+2\right)  

3.

Do GCF first then factor the polynomial:  4b224b+204b^2-24b+20  

a)

 4(b5)(b1)4\left(b-5\right)\left(b-1\right)  

b)

 4(b4)(b+5)4\left(b-4\right)\left(b+5\right)  

c)

 2(b5)(b+4)2\left(b-5\right)\left(b+4\right)  

d)

 4(b6)(b+4)4\left(b-6\right)\left(b+4\right)  

4.

Do GCF first then factor the polynomial:  5c2+30c355c^2+30c-35  

a)

 5(c+7)(c1)5\left(c+7\right)\left(c-1\right)  

b)

 5(c7)(c+1)5\left(c-7\right)\left(c+1\right)  

c)

 5(c5)(c+7)5\left(c-5\right)\left(c+7\right)  

d)

 5(c6)(b+5)5\left(c-6\right)\left(b+5\right)  

5.

Do GCF first then factor the polynomial:  2d28d242d^2-8d-24  

a)

 2(d8)(d+3)2\left(d-8\right)\left(d+3\right)  

b)

 2(d6)(d+4)2\left(d-6\right)\left(d+4\right)  

c)

 2(d6)(d+2)2\left(d-6\right)\left(d+2\right)  

d)

 2(d4)(d+3)2\left(d-4\right)\left(d+3\right)  

6.

Do GCF first then factor the polynomial:  3e215e+123e^2-15e+12  

a)

 3(e+4)(e+3)3\left(e+4\right)\left(e+3\right)  

b)

 3(e+5)(e3)3\left(e+5\right)\left(e-3\right)  

c)

 3(e4)(e1)3\left(e-4\right)\left(e-1\right)  

d)

 3(e2)(e2)3\left(e-2\right)\left(e-2\right)  

7.

Do GCF first then factor the polynomial:  4f212f164f^2-12f-16  

a)

 2(f+1)(f16)2\left(f+1\right)\left(f-16\right)  

b)

 2(f4)(f+1)2\left(f-4\right)\left(f+1\right)  

c)

 4(f+1)(f16)4\left(f+1\right)\left(f-16\right)  

d)

 4(f4)(f+1)4\left(f-4\right)\left(f+1\right)  

8.

Do GCF first then factor the polynomial:  6g26g126g^2-6g-12  

a)

 6(g2)(g+1)6\left(g-2\right)\left(g+1\right)  

b)

 6(g+2)(g1)6\left(g+2\right)\left(g-1\right)  

c)

 12(g+2)(g2)12\left(g+2\right)\left(g-2\right)  

d)

 3(g2)(g+6)3\left(g-2\right)\left(g+6\right)  

9.

Do GCF first then factor the polynomial:  25h2+125h+10025h^2+125h+100  

a)

 25(h+4)(h+1)25\left(h+4\right)\left(h+1\right)  

b)

 25(h+2)(h+2)25\left(h+2\right)\left(h+2\right)  

c)

 25(h+20)(h+5)25\left(h+20\right)\left(h+5\right)  

d)

 25(h+10)(h+10)25\left(h+10\right)\left(h+10\right)  

10.

Do GCF first then factor the polynomial:  10i2+20i8010i^2+20i-80  

a)

 10(i+1)(i8)10\left(i+1\right)\left(i-8\right)  

b)

 10(i1)(i+8)10\left(i-1\right)\left(i+8\right)  

c)

 10(i2)(i+4)10\left(i-2\right)\left(i+4\right)  

d)

 10(i+2)(i4)10\left(i+2\right)\left(i-4\right)  

11.

Do GCF first then factor the polynomial:  12j272j+10812j^2-72j+108  

a)

 12(j3)(j+3)12\left(j-3\right)\left(j+3\right)  

b)

 12(j3)(j3)12\left(j-3\right)\left(j-3\right)  

c)

 12(j9)(j+1)12\left(j-9\right)\left(j+1\right)  

d)

 6(j3)(i+4)6\left(j-3\right)\left(i+4\right)