Factoring Review

Factoring Review

Algebra II

Mrs. Jenks

Poll

How many of you remember reviewing through our spiral review warm-ups?

• I do!

• A little bit, but I could use more review

• Factoring?

Multiple Choice

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

Multiple Choice

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

Multiple Choice

What is the GCF? 3x²-2x

• 3
• 3x
• x
• 2

Multiple Choice

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Multiple Choice

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Multiple Choice

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

Multiple Choice

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Multiple Choice

Factor
12j²k³ - 20hj

• 4j(3jk³ - 5h)
• 4j(6jk³ - 10h)
• 4j(3jk² - 5h)
• 4j²(24j²k³ - 20h)

Multiple Choice

Factor q² - 121

• (q - 11) (q - 11)

• (q + 11) (q - 11)

• (q + 11) (q + 11)

• Can't factor using Diff. of Squares

Multiple Choice

Factor x² - 9

• (x + 3) (x - 3)

• (x - 3) (x - 3)

• (x + 3) (x - 6)

• Can't factor using Diff. of Squares

Multiple Choice

9n² + 1

• (3n + 1) (3n - 1)
• (3n - 1) (3n - 1)
• (n + 3) (n - 3)
• Can't factor using Diff. of Squares

Multiple Select

Which of the following are in the form of difference of squares? Select all that apply.

• (x - 3)(x + 3)

• (2d - 5)(2d - 5)

• (f + 6)(f - 6)

• (k² - 10)(k² + 10)

• (y + 1)(y + 1)

Multiple Choice

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Multiple Choice

Factor the expression completely:

$$25x^2+4$$  

• Not Factorable

• $$\left(5x-2\right)\left(5x+2\right)$$  

• $$\left(5x-4\right)\left(5x-1\right)$$  

• $$\left(5x+4\right)\left(5x+1\right)$$  

Multiple Choice

3x² - 75

• 3( x + 5 ) ( x - 5 ) 
• Prime
• ( x + 5 ) ( x - 5 ) 
• 3( x - 5 ) ( x - 5 ) 

Multiple Choice

r² - 9t²

• (r + 3t) (r - 3t)
• (r - 3t) (r - 3t)
• (3r + t) (3r - t)
• Can't factor using Diff. of Squares

Multiple Choice

Factor

x² + 7x + 12

• (x + 2)(x + 10)

• (x + 3)(x + 4)

• (x + 4)(x + 5)

• (x + 4)(x + 6)

Multiple Choice

Factor completely:

y² - 7y + 12

• (y - 3) (y - 4)

• (y + 3) (y - 4)

• (y + 3) (y + 4)

• (y - 2) (y - 6)

Multiple Choice

Factor
k²+7k+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Multiple Choice

x²+10x+16

• (x-2)(x-8)

• (x+2)(x+8)

• (x+1)(x+16)

• (x+6)(x+10)

Multiple Choice

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Multiple Choice

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Multiple Choice

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Multiple Choice

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

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

Multiple Choice

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Multiple Choice

Factor
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Multiple Choice

Factor this trinomial:
k² - 2k - 24

• (k+4)(k+6)
• (k+4)(k-6)
• (k+6)(k-1)
• (k-4)(k+6)

Multiple Choice

Factor this trinomial:
x²+10x+16

• (x+2)(x+8)
• (x-2)(x-8)
• (x+1)(x+16)
• (x+6)(x+10)

Multiple Choice

Factor: x² - 4x + 4

• (x + 2)²
• (x - 2)²
• (x + 4)²
• (x - 4)²

Multiple Choice

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Poll

Which do you need the most help with?

• Factoring out a GCF

• Difference of Squares

• Factoring Trinomials

Poll

After reviewing basic factoring- on a scale of 1 to 4, how do you feel about factoring?

• 4- This is easy, I could teach it to the class

• 3- I am good most of the time

• 2- Ehhh, I can do it some times

• 1- What in the world is this? I wasn't here or coherent when we reviewed this