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Factoring Quadratics

Total questions: 12

Worksheet time: 29mins

Name
Class
Date
1.

What method should be used to factor the expression below?
 7x363x7x^3-63x 

a)

GCF

b)

Difference of Squares

c)

GCF & Difference of Squares

d)

It cannot be factored

2.

What is the completely factored form of the expression below?
 7x363x7x^3-63x 

a)

 7x(x29)7x\left(x^2-9\right)  

b)

 7x(x+3)(x3)7x\left(x+3\right)\left(x-3\right)  

c)

 7(x39x)7\left(x^3-9x\right)  

d)

Prime

3.

What method should be used to factor the expression below?
 2m2+12m322m^2+12m-32 

a)

Slip & Slide Method

b)

GCF

c)

Trinomials (a=1)

d)

GCF & Trinomials (a=1)

4.

What is the completely factored form of the expression below?
 2m2+12m322m^2+12m-32 

a)

 2(m+8)(m2)2\left(m+8\right)\left(m-2\right)  

b)

 2(m2+6m16)2\left(m^2+6m-16\right)  

c)

 (m+8)(m2)\left(m+8\right)\left(m-2\right)  

d)

 2(m8)(m+2)2\left(m-8\right)\left(m+2\right)  

5.

What method should be used to factor the expression below?
 2w2w102w^2-w-10 

a)

Slip & Slide Method

b)

GCF

c)

Trinomials (a=1)

d)

GCF & Trinomials (a=1)

6.

What is the completely factored form of the expression below?
 2w2w102w^2-w-10 

a)

 (w5)(w+1)\left(w-5\right)\left(w+1\right)  

b)

 (w5)(w+4)\left(w-5\right)\left(w+4\right)  

c)

 (2w+5)(w2)\left(2w+5\right)\left(w-2\right)  

d)

 (2w5)(w+2)\left(2w-5\right)\left(w+2\right)  

7.

What method should be used to factor the expression below?
 n218n40n^2-18n-40 

a)

Slip & Slide Method

b)

GCF

c)

Trinomials (a=1)

d)

Difference of Squares

8.

What is the completely factored form of the expression below?
 n218n40n^2-18n-40 

a)

 (n+5)(n8)\left(n+5\right)\left(n-8\right)  

b)

 (n+1)(n40)\left(n+1\right)\left(n-40\right)  

c)

 (n+2)(n20)\left(n+2\right)\left(n-20\right)  

d)

 (n+4)(n10)\left(n+4\right)\left(n-10\right)  

9.

What method should be used to factor the expression below?
 18a2b30ab218a^2b-30ab^2 

a)

GCF

b)

Difference of Squares

c)

GCF & Difference of Squares

d)

Trinomials (a=1)

10.

What is the completely factored form of the expression below?
 18a2b30ab218a^2b-30ab^2 

a)

 6(3a2b5ab2)6\left(3a^2b-5ab^2\right)  

b)

 6ab(3a5b)6ab\left(3a-5b\right)  

c)

 3ab(6a10b)3ab\left(6a-10b\right)  

d)

 6a(3ab5b2)6a\left(3ab-5b^2\right)  

11.

What method should be used to factor the expression below?
 25x281y225x^2-81y^2 

a)

GCF

b)

Difference of Squares

c)

GCF & Difference of Squares

d)

It cannot be factored

12.

What is the completely factored form of the expression below?
 25x281y225x^2-81y^2 

a)

 (5x9y)(5x+9y)\left(5x-9y\right)\left(5x+9y\right)  

b)

 (25x81y)(25x+81y)\left(25x-81y\right)\left(25x+81y\right)  

c)

 (5x29y2)(5x2+9y2)\left(5x^2-9y^2\right)\left(5x^2+9y^2\right)  

d)

Prime