GCF
GCF stands for...
What is: Greatest Common Factor?
These are the two requirements a binomial must meet to use the Difference of Squares method.
What are: Difference of two terms and both perfect squares?
In the AM method, the letters “A” and “M” stand for these two operations.
What are: add and multiply?
In the AC method of factoring, these two parts of the trinomial are represented by the letters “A” and “C.”
What are: The first coefficient and the constant term?
Factor by grouping works best for polynomials with how many terms?
What is: Four terms?
True or False: Removing a greatest common factor changes the solutions to an equation.
What is: False?
True or False: x2 + 25 can be factored using the Difference of Squares method.
What is: False?
The two numbers used to factor x2+bx+c must do these two things.
What is: Multiply to c and add to b?
This is the purpose of multiplying the "A" and "C" values together when using the AC Method
What is: To find two numbers used to split the middle term?
This is the initial element you factor out of each pair when using the grouping method.
What is: A common factor?
This is the main reason factoring out the GCF is helpful before using any other factoring method.
What is: It makes the numbers smaller and the problem easier to factor?
Factor Completely: x2-196
What is: (x+14)(x-14)
In the AM method, this is what it means if no pair of numbers both add to b and multiply to c.
What is: the trinomial cannot be factored using the AM method?
In the AC method, the middle term is split so the expression can be factored using this technique.
What is: Factor by Grouping?
In factor by grouping, what must appear after factoring each pair of terms?
What is: A common binomial factor?
Factor 18x2−12x
What is: 6x(3x−2)?
Factor 12x2−27
What is: 3(2x+3)(2x-3)?
Factor x2+10x+21
What is: (x+3)(x+7)?
Factor 5x2+13x+6
What is: (5x+3)(x+2)?
Factor x3+5x2+2x+10
What is: (x2+2)(x+5)
Factor: 42x3y−28x2y2+14xy
What is: 14xy(3x2−2xy+1)?
Factor completely: 121a4−64b4
What is: (11a2−8b2)(11a2+8b2)?
Factor: x2+6x-72
What is: (x+12)(x−6)?
Factor: 8x2−14x−15
What is: (4x+3)(2x−5)?
Factor: 6x3−9x2+10x−15
What is: (3x2+5)(2x−3)?