Algebra 2 Final
If you by a stock for $5000 and the stock increase by 8% each year how much will the stock be worth after 47 years
$186,160.06
What is the equation for using sum of cubes?
(a+b)(a^2-ab+b^2)
What is the equation for the difference of cubes?
(a-b)(a^2+ab+b^2)
Solve the equation (3+4i)(-6-2i)
-10-30i
What is i^3 equal to
-i
Multiply this equation (10x-3)(5x^2+7x-1)
50x^3+55x^2-21x-7
What is 126/21
6
What is 32/4
8
Solve the equation (3+4i)-(-6-2i)
9+6i
If you buy a car for $20,000 dollars and the value decrease by 10% each year what will the value of the car be after 5 years?
=$11,809.90
If you buy a computer for $1200and it's value decrease by 30% every year how many years will it take for it he value to be $100
About 6.97 years
What is a rational root
All the factors of the last number of a polynomial divided by the factors of the lead coefficient
What formula is used to find exponential growth and decay
Asubt= A(1+r)^t
What is the domain and range of y=x^2
D: (-infinity, infinity) R:(0,infinity)
What is the degree and lead coefficient of 2x^4+3x^3+4x^2+7
Degree of 4 and lead coefficient 2
What is the degree and lead coefficient of 2x^2+5x^5+x^3-4x+7x^4+13
Degree of 5 lead coefficient of 5
What is the vertex of 2x-4+3
1
What is 27-9
18
What do you call a 1,2,3 term polynomial
1:monomial 2:binomial 3:trinomial
Expand log3(4^2)
2 x log3(4)
Solve the equation -3+5i/2i (hint get the bottom to just a whole number)
2.5+1.5i
What is 4x52
208
Change into exponential form log5(25)=2
25=5^2
Solve log2(8)
3
What is 2x16
32
What is 18+17
35
Solve using synthetic division 3x^3+4x^2-2x-1/x+4
3x^2-8x+30- 121/x+4
Solve logx(16)=2
4
Expand log(120/12)
Log(120)/log(12)
Condense 3 log(4)+ 2 log(3)
Log(4^3x3^2) or log(576)
Expand log2(4x8)
Log2(4) + log2(8)
Condense log3(36)-log3(4)
Log3(36/4) or log(9)
Change into log rhythmic form 3^4=81
Log3(81)=4
What is another way to write logb(m x n)
Logb(m)+logb(n)
What is another way to write logb (m/n)
Logb(m)-logb(n)
If you don't like the base of a log what equation can you use?
Logc(N)/logc(m)
What is another way to write logb( m^n)
N x logb(m)
If equation has y<or > what do you do to the graph
Shade in the domain and range
What are the transformations of the equation y= -1/2x^2 -3 and what parent function is it part of
Steepness= 1/2 as steep Vertical= 3 down Flip it= -1/2 Parent function= y=x^2
What are the transformations of the equation y= (2x-3) +1 and what parent graph is it part of
Steepness= 2x as steep Lateral= 3 to the right Vertical= 1 up Parent graph y=x
When something is an inverse it's t chart does what?
Switches x and y
What is the degree of a polynomial?
The biggest exponent
What are the transformations
Vertical (up, down) Lateral(left, right) Steepness(slope) Flip it
Find roots using quadratic formula f(x)=3x^2+4x-4
X 2+-2i square root2/3
What is the domain range of x^2-2x-4<0
X(weird e thingy) (-1.23,3.23)
What is the domain and range of this equation x^2-3x-10_>0
X(weird e thingy) (-infinity, -2] U [5, infinity)
Solve using long division (x^2-3x+2)/(x-2)
X-1
Find roots using quadratic formula f(x)=x^2+7x+10
X= -2,-5
What is the important equation to find the vertex/ AOS
X= -b/2a
factor by grouping x^3+3x^2-9x-27=0
X=(double root)-3,3
Factor x^4-29x^2+100=0
X=+-2,5
Find roots using quadratic formula f(x)=x^2-x-1
X=-1+-2i/2
Solve using synthetic division X^4-3x^3+5x^2-27x-36=0
X=-1,4,+-3i
Factor by grouping 2x^5+x^4-2x-1=0
X=-1/2,1i,-1,1
Find the roots by factoring f(x)= 2x^2+x-10
X=-5/2 or -2.5, X=2
Find roots using quadratic formula f(x)=x^2+6x+0
X=0,-6
Solve log5(x)=-1
X=1/5
Find the roots using square roots x^2-9=0
X=3
Find the roots by factoring f(x)= x^2-4x+3
X=3, X=1
Write and solve the inverse of f(x)=3x+7
X=3y+7 y= (x-7)/3
Factor using synthetic division 3x^3-18x2-9x+132=0
X=4,1+2(squarer root)3
Given the roots find the equation x=-2, 1
X^2+x-2
Given the roots find the equation x=-1,2+-3i
X^3-3x^2+9x+13
Examples of parent graphs
Y=x Y=x^2 Y=x^3 Y=square root x Y=|x|
What is the quadratic formula
x = (-b ± √b^2 - 4ac)/2a
What is standard form
y=ax^2+bx+c
