L Factoring/Solving Quiz Review

Add or Subtract to Simplify:

Answer explanation

Answer explanation

Final answer must be written with the HIGHEST power FIRST and it descends from there

SIMPLIFY the expression.

2(2x + 1) + 8x - 3

• 12x -1
• 12x - 5
• 12x + 1
• 12x + 6

Answer explanation

What is the GCF? 4x²-12x+18

• 4

• 3

• 2

• x

Answer explanation

EACH term needs to be able to be divided by the same thing until nothing else can be taken out

• 7(4x³+3x²-7x)

• 7x(4x²+3x-7)

• x(28x²+21x-49)

Answer explanation

Factor
x²-13x+40

• (x-5) (x-8)

• (x+5) (x-8)

• (x-5) (x+8)

• (x+6) (x+1)

2x² - 32

• Not factorable

• (2x+32)(2x-32) 

• (x-4)(x-4)

• 2(x+4)(x-4)

Answer explanation

• - first step is to ALWAYS take out the GCF

• - finding factors of 16 that subtract to get 0 since there is NO middle term

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Answer explanation

*since both terms can be square rooted AND there is a minus sign in between, we can use the "difference of perfect squares method" which takes the square root of both terms and puts them into the final factors with one being addition and the other subtraction

*can also do slide and divide, and find factors of 2025 that subtract to get 0

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Answer explanation

one factor comes from the common parenthesis and the other comes from the GCFs we took out of both groups

SOLVE the equation:

x² - 9x + 20 = 0

• x = {-5, -4}

• (x-4)(x-5)

• x = {4, 5}

• (x+4)(x+5)

Answer explanation