Quadratic Formula
Factors
Graphs
Solving Equations
Exponents & Radicals
100
What is the quadratic formula?
(-b pm sqrt(b^2-4ac))/(2a)
100
What are the factors of
x^2-9x+18
(x-3)(x-6)
100
How do you find the axis of symmetry in a quadratic function?
-b/(2a)
100
Explain when you would use binomial distribution
When you have a binomial raised to an power
100
Simplify
sqrt84
2sqrt21
200
What is the quadratic formula used for?
To find the roots of a quadratic function
200
How do you use factors to find roots?
Set each factor equal to zero and solve for x.
200
How many roots are possible:
2x^5+x^2+14
5
200
What form must a divisor be in to use synthetic divison
(x-a)
200
Simplify
(a^2+2b)^2
a^4+4a^2b+4b^2
300
What is the discriminant?
b^2-4ac
300
Is (x+1) a factor of
x^3-x^2-25x+25
No.
When dividing, there is a remainder of 48
300
What is the end behavior of the function
-3x^4-x^3+5x-2
both ends continue downwards.
Increases from the left side decreases on the right side.
300
When could you use synthetic division?
To divide polynomials
To determine factors
To find the value of a polynomial
300
Simplify
(x^2)^4
x^8
400
How many roots?
f(x)= 4x^2+3x=2
2 imaginary or 0 real roots.
400
Factor by grouping:
x^3+7x^2+2x+14
(x+7)(x^2+2)
400
Explain multiplicity.
It is the number of times a factor shows up to find roots. 3:bend at root 2: parabola at root 1: crosses the root
400
Name three methods factoring polynomials
GCF, Box, Grouping, Synthetic divison
400
Simplify
sqrt(-108)
6isqrt3
500
Solve:
4x^2-5x-6=0
x=-3/4 and x=2
500
If the factors of an equation were written as
(x-1)^4
what would the coefficients of the expanded equation be?
1 4 6 4 1
500
What is a possible equation for the graph:
(x+2)(x-1)(x-1)
f(x)=x^3-3x+2
500
Solve
(2x^3-7x^2+9x-4)/(2x-1)
x^2-3x+3+(-1/(2x-1))
500
What is
(sqrt 32)^3
128sqrt2