factoring
What are the factors of a^2 - b^2?
(A+B)(A-B)
What is the formula for Difference of Cubes?
(x^3-b^3)=(x-y)(x^2+xy+y^2)
How do you find f(x)=g(x) when graphing?
Graph the equations and look for the intersection.
What is the first step when factoring a trinomial?
Multiplying the numbers on the outside
what buttons do you press on your calculator to find the intersection of two lines?
2nd, trace, intersect
When a^3= 27 and b^3=8, what is a and b?
a=3 b=2
What is the formula for sum of cubes?
(a+b)(a^2-ab+b^2)
In standard form, how do you find the degree of a function?
Look at the highest exponent.
When do you know you need to factor using the trinomial method?
When it has 3 terms and no GCF
What do you do on Desmos Graphing Calculator to find the intersection of two lines?
y=3x+6
y=10x+6
y-intercept= (0,6)
is x-2 a factor of f(x)=x^3-5x^2+4x-3?
Yes, -7
what does the word 'root' mean in terms of math ?
'root'- number that when multiplied by itself produces the original number
What values do you use for intervals?
The different between two values.
When do you know you need to factor with grouping method?
When there is no common factor
how do you simplify a rational expression?
eliminate all factors that are common to the numerator and denominator.
What is the GCF of the expression: 16x^4-8x^2+2x?
2x x (2x-1) x (4x^2+2 x 1)
True or False- 'Roots' mean the same as 'zeros'
True
What does the end behavior of an even function look like?
When the equation is even, the end behavior is on the same side. The leading coefficient determines they head to positive infinity or negative infinity.
What is the first step when factoring by grouping?
Grouping the first 2 terms and then the last 2 terms together.
How can you find the roots of a polynomial without at graphing calculator?
setting ach factor equal to 0
When a function is in factored form, what do the factor tell you?
Where the function is zero.
What is the definition of ' Remainder Theorem'?
When a polynomial F(x) has a divisor x-c, F(c) determines the remainder.
What does the end behavior of an odd function look like?
When the equation is odd, the end behavior is on different sides. The leading coefficient determines they head to positive infinity to negative infinity or negative infinity to positive infinity.
How do you find the degree of a polynomial?
Add the number of zeros.
What are all the ways you can find the zeros of the function?
Factoring and Grouping