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Factor by Grouping with Gcf

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factor by Grouping with Gcf
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following methods would be best to solve this equation by Factoring?
7x+ 49x= 0

GCF

I-Chart with Grouping (a > 1)

Diffefernce of Squares

Difference of Cubes

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor out the GCF:

4x - 10

4(x - 5)

2(x - 5)

2(2x - 5)

2(2x -10)

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use your knowledge on GCF's and Factoring by grouping to factor the following: 30x3+15x2-18x-9

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

(5x2-3)(6x+3)

3(5x2+3)(2x-1)

3(5x2-3)(2x+1)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the greatest common factor of
6x4y- 12x4y+ 6x3y2

6

6xy

6x3y2

6x9y6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor Completely: 3m4 + 6m3 + 48m2 + 96m
**Hint: Factor by GCF THEN grouping

3m(m2 + 16)(m + 2)

3m(m2 − 16)(m − 2)

3m(m + 4)(m − 4)(m + 2)

3m(m + 4)(m − 4)(m − 2)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor Completely: 8x4 + 2x3 − 16x2 − 4x

2x2(4x + 1)(x − 2)

2x(4x + 1)(x2 − 2)

2x(x + 1)(x − 1)

2(x2 − 2)(4x − 1)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Why do we need to find the GCF of polynomials? Choose the BEST option.

Because Ms. Rice said so

To simplify the polynomials as much as possible before working with them

To get rid of stuff

Because the GCF makes the problem impossible to solve

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