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Factoring GCF, Difference of Squares, Basic Trinomials

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factoring GCF, Difference of Squares, Basic Trinomials
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following methods would be best to solve this equation by Factoring?
2x2 - 17x + 36 = 0

Difference of Squares

Factor by Grouping

Trinomial when a >1

GCF

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How should you factor the following expression?

Perfect Squares:

Use (x + a ) (x - a )

Factor when a>1, slip & slide

No Leading Coefficient:

Go straight to (x ± a) (x ± b)

Factor by Grouping

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How should you factor the following expression?  
x2 - 5x + 6

Perfect Squares:
Use (x + a ) (x - a )

Perfect Cubes:
Use SOP SMS

No Leading Coefficient:
Go straight to (x ± a) (x ± b)

Multiply 1st & Last;
Replace middle term;
Factor by Grouping

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How should you factor the following expression?  
9x2 - 12x + 4

Perfect Squares:
Use (x + a ) (x - a )

Perfect Cubes:
Use SOP SMS

No Leading Coefficient: Go straight to (x ± a) (x ± b)

Multiply 1st & Last;
Replace middle term;
Factor by Grouping

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How should you factor the following expression?

144x2 - 225

Difference of Squares because the terms are perfect squares.

Difference of Cubes because the terms are perfect cubes.

Basic Factoring because there is no Leading Coefficient

Factor by Grouping because it is a 4-term polynomial.

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following methods would be best to solve this equation by Factoring?
8x3 - 125 = 0

Difference of Squares

Factor by Grouping

GCF

Difference of Cubes

Tags

CCSS.HSA.APR.C.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How should you factor the following expression?
x2 + 7x - 30

Perfect Squares:
Use (x + a ) (x - a )

Perfect Cubes:
Use SOP SMS

No Leading Coefficient: Go straight to (x ± a) (x ± b)

Multiply 1st & Last;
Replace middle term;
Factor by Grouping

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