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Fast Factor Quadratics

Total questions: 24

Worksheet time: 42mins

Name
Class
Date
1.

x2+7x+12x^2+7x+12  

a)

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

b)

(x4)(x3)\left(x-4\right)\left(x-3\right)  

c)

(x+6)(x+2)\left(x+6\right)\left(x+2\right)  

d)

(x+4)(x3)\left(x+4\right)\left(x-3\right)  

2.

a2+9a+20a^2+9a+20  

a)

(a+10)(a+2)\left(a+10\right)\left(a+2\right)  

b)

(a+4)(a+5)\left(a+4\right)\left(a+5\right)  

c)

a(a2+9a+20)a\left(a^2+9a+20\right)  

d)

(a+10)(a2)\left(a+10\right)\left(a-2\right)  

3.

y2+2y+1y^2+2y+1  

a)

(y+2)(y+1)\left(y+2\right)\left(y+1\right)  

b)

(y1)(y1)\left(y-1\right)\left(y-1\right)  

c)

(y+1)(y1)\left(y+1\right)\left(y-1\right)  

d)

(y+1)2\left(y+1\right)^2  

4.

n2+3n18n^2+3n-18  

a)

(n2)(n+9)\left(n-2\right)\left(n+9\right)  

b)

(n6)(n+3)\left(n-6\right)\left(n+3\right)  

c)

(n+6)(n3)\left(n+6\right)\left(n-3\right)  

d)

(n9)(n+2)\left(n-9\right)\left(n+2\right)  

5.

x2+5x6x^2+5x-6  

a)

(x6)(x1)\left(x-6\right)\left(x-1\right)  

b)

(x+6)(x1)\left(x+6\right)\left(x-1\right)  

c)

(x3)(x+2)\left(x-3\right)\left(x+2\right)  

d)

(x+2)(x3)\left(x+2\right)\left(x-3\right)  

6.

k212k64k^2-12k-64  

a)

(k+16)(k4)\left(k+16\right)\left(k-4\right)  

b)

(k+8)(k8)\left(k+8\right)\left(k-8\right)  

c)

(k16)(k+4)\left(k-16\right)\left(k+4\right)  

d)

Prime\Pr ime  

7.
Factor the Trinomial:
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
8.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
9.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
10.
Factor
x+ 12x + 36
a)
(x + 6)(x +6)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 6)(x - 6)
11.
Factor
k2+3x-10
a)
(k-2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
12.
Factor
k2 - 2k - 24
a)
(k+4)(k+6)
b)
(k+4)(k-6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
13.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
14.
Factor
x2  +5x - 36
a)
(x + 9)(x - 4)
b)
(x + 12)(x - 3)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
15.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
16.
Factor Trinomial Completely:
2x2 + 12x + 16
a)
2(x + 8)(x + 6)
b)
(2x + 4)(2x + 2)
c)
2(x + 2)(x + 4)
d)
2(x2 + 6x + 8)
17.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
18.
Factor completely.
3x- 9x -120
a)
3(x - 8)(x + 5)
b)
3(x + 8)(x - 5)
c)
(3x + 8)(x - 5)
d)
(3x - 8)(x + 5)
19.

Factor the trinomial.

a)

3(x+3)(x-2)

b)

3(x-3)(x-2)

c)

(x+5)(x+1)

d)

3(x-5)(x-1)

20.

Factor the trinomial.

a)

2(x+3)(x+2)

b)

(x+3)(x+2)

c)

2(x+6)(x+1)

d)

2(x+5)(x+1)

21.

What is the main song from the movie Frozen?

a)

Let me go

b)

Let it go

c)

I've got to break free

d)

Frozen love

22.

This princess lives in the sea?

a)

Merida

b)

Snow White

c)

Ariel

d)

Mulan

23.

What animal does Moana have?

a)

a cow - Chew

b)

a horse - Hoy Hoy

c)

a goat - Goaty

d)

a chicken - Het Hey

24.

Who is in the picture?

a)

Maui and Elsa

b)

Moana and Maui

c)

Moana and Elsa

d)

Maui and Anna