Rules
No matter the number of term, What do you always check for first?
GCF
What method do we use to factor 3 termed polynomials if there is not GCF?
AC method
How do we factor 4 terms if there is no GCF?
grouping
What value can we never have in the denominator?
can you use synthetic division? why or why not? 5x3-4x2+7 / x+2
yes the divisor is linear
What is the pattern for the a polynomial factored using Difference of Perfect Squares?
(a+b)(a-b)
What is the GCF of the following polynomial: 4x2y+2x
2x
factor: x3-216
(x-6)(x2+6x+36)
13
what would the divisor be in the following problem?
5x3-4x2+7 / x+2
What is the pattern for the a polynomial factored using Difference of Perfect Cubes?
(x-y)(x2+xy+y2)
solve the following: (x2-25)
(x+5)(x-5)
What is the GCF of 5 and 40?
5
Given f(x)= 2x+5 , x>3
x-8, x<3
find f(5)
15
5x3-4x2+7 / x+2
5x-14x+28+ (-49/(x+2))
What is the pattern for the a polynomial factored using Sum of Perfect Cubes?
(x+y)(x2-xy+y2)
What three factoring methods do we check for when factoring a binomial?
2. difference of perfect cubes
3. sum of perfect cubes
write the pattern for Difference of squares 5 times (legibly)
show on paper
given f(x)=2x2-8x+3 and g(x)=-10x2-7 find f(x)-g(x)
12x2-8x+10
can you use synthetic division? why or why not: 6x3-8x+2 / 2x2+3
no; the divisor is not linear( it has an exponent)
When dividing polynomials, What must you not forget if needed? What are they used for?
Placeholders; they are used in cases where there is a missing term
Factor the following: 10x2-7x-6
(5x-6)(2x+1)
Write the pattern for sum of cubs 5 times (legibly)
show on paper
given f(x)=2x2-8x+3 and g(x)=-10x2-7 find f(4)+g(-1)
-14
solve: 5x3-4x2+7 / x+2
3x + (-17x+2/2x2+3)