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Factoring Quadratics

Authored by Gretchen West

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Factoring Quadratics
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the factored form of the quadratic equation

 x2 +5x +6=0x^{2\ }+5x\ +6=0  

 \left(x-2\right)\left(x-3\right)

 (x2)(x3)\left(x-2\right)\left(x-3\right)  

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

 (x+1)(x+5)\left(x+1\right)\left(x+5\right)  

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the factored form of the quadratic equation

 x2 +12x +32=0x^{2\ }+12x\ +32=0  

 (x +4)(x+8)\left(x\ +4\right)\left(x+8\right)  

 (x4)(x8)\left(x-4\right)\left(x-8\right)  

 (x2)(x16)\left(x-2\right)\left(x-16\right)  

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

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the factored form of the quadratic equation

 x2 6x 7=0x^{2\ }-6x\ -7=0  

 (x +1)(x7)\left(x\ +1\right)\left(x-7\right)  

 (x1)(x+7)\left(x-1\right)\left(x+7\right)  

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

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

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the factored form of the quadratic equation

 x2 +x 6=0x^{2\ }+x\ -6=0  

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

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

 (x1)(x5)\left(x-1\right)\left(x-5\right)  

 (x2)(x+3)\left(x-2\right)\left(x+3\right)   

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor out the GCF:
12x + 6

6(2x + 1)
3(4x + 2)
6x(2x + 1)
2(6x + 3)

Tags

CCSS.7.EE.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor
3a2 + 4a + 1

(7a-10)(a-8)
Not factorable
(3a+1)(a+1)
(3a-1)(a-1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor Completely: 
3x2 + 18x +15
Hint: Factor GCF first.

3(x2 + 6x + 5)
(x + 5)(x + 1)
3(x + 5)(x + 1)
Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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