Algebra 2 Final

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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


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