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Note from the author:

Various types of factoring practice

1

1 pt

Which expression shows the correct factorization of x^2 + 6x + 5?

(x - 5)(x - 1)

(x + 5)(x + 1)

(x + 2)(x + 3)

(x - 2)(x - 3)

2

1 pt

What are factors that multiply to -24 that add to 5?

-4 and -6

-6 and 4

-8 and 3

8 and -3

3

2 pts

Factor the expression 45xy – 15y

Hint: Look for a GCF first!

4

2 pts

Use factor by grouping to factor 6y^2 – 4y + 3y – 2

5

1 pt

The Zero Product Property tells us that x = 5 and x = 0 for the equation: x(x - 5) = 0

True

False

6

1 pt

What is the GCF of 55p^2 – 11p^4 + 44p^5

11

11p^2

11p

p^2

There is none

7

2 pts

Factor xa + ya + x + y

8

3 pts

Use the X - method to factor 4x^2 + 26x – 48

9

3 pts

Use your favorite factoring method to factor 6x^2 + 5x – 6

10

3 pts

Use X - method, or any other factoring method, to factor 2a^2 – 14a + 18

11

2 pts

Factor 9x^2 – 6x

12

1 pt

What are the solutions to the equation 12x = 3x^2?

x = 0 and x = 4

x = 0

x = -4 and x = 0

x = 4

13

2 pts

Factor x^2 – 4x – 21

14

2 pts

Factor a^2 – 4ab + 4b^2

15

1 pt

What method do you prefer to use when factoring?

X - method

Factor tables

Guessing

Factor by grouping

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