GCF
What does GCF stand for?
Greatest common factor
Could I perform difference of perfect squares on the following... why/why not?
x2+64
NO! There's a plus inbetween the factors
How do I know when to use the chart method?
There will be 3 terms
What is required for a rational function to be considered already factored
Parenthesis!!!!!!!!!!!
Excluded values occur because I don't want my denominator to equal what number?
Zero
How do I know to use the GCF method?
All factors have something in common/ something you can divide everything by
What are the requirements to perform the difference of perfect squares?
2 terms
Minus inbetween
Both perfect squares
Write an example of something that could be factored using the chart method
x2-5x-6
x2+3x-4
x2+9x+20
How do I know to cancel something out? Use the following as an example:
(6(x-5))/(7(x-5))
If there are matchers/ factors that are the same
What is this fraction considered?
x/0
Undefined
What is the GCF of:
9x-45
9
How do we know if x2 is a perfect square?
The exponent is even
Label a, b, and c for the following:
x2+9x+18
a=1 b=9 c=18
Simplify:
(4(x+2))/(x+2)
4
What are the excluded value here (what number would make the denominator zero?)
2/(x-9)
9
What is the GCF of 4x3+28x2
4x2
Can i perform difference of perfect squares on the following? If you can write it in factored form.
x2-9
Yes, (x+3)(x-3)
Factor the following:
x2+10x+16
(x+8)(x+2)
Can i simplify
(4x)/(x+5)?
No, only if things are attached with multiplication
What are the excluded values here:
(x+7)/((x+7)(x-3)
x=-7 and x=3
(More like x cannot equal those numbers)
Factor the following:
3x2+27x
3x(x+9)
Perform difference of perfect squares:
x2-49
(x+7)(x-7)
Factor the following:
x2-x-20
(x-5)(x+4)
Factor and simplify:
(6x-24)/(x^2-16)
(6(x-4))/((x+4)(x-4))
6/(x+4)
What are the excluded values here:
(3x)/(x(x+1))
x=0 and x=-1
(more like x cannot equal those values)