3.1
The x values when y=0; roots, x-intercepts, solutions
What symbol is used for an imaginary number?
i
What are values separated by + and - signs?
Terms
What is the discriminate?
b^2-4ac
What is a linear inequality in two variables?
equation of a line with a <, >, greater than or equal to, or lesser than or equal to symbol. (y<mx+b)
How do you rationalize the denominator?
Multiply fraction by a value of 1
What is a+bi (b does not equal 0)?
Complex number
What is a binomial?
An expression with two terms
If b^2-4ac < 0, how many solutions are there, and real or imaginary?
2 imaginary
2 linear equations
Factors are..? (binomials)
what binomials are multiplied together for the given fraction
What is a pure imaginary number?
the bi in a+bi
What is a perfect square trinomial?
A trinomial that can be factored into a binomial squared
If b^2-4ac = 0, how many solutions are there, and real or imaginary?
1 real
What is a system of nonlinear equations?
at least one of the equations are nonlinear
What kind of equation is ax^2+bx+c?
Quadratic
What is the square root of -1?
i
How do you complete the square?
Add and subtract a new c that equals (b/2)^2 to form a perfect square trinomial
If b^2-4ac > 0, how many solutions are there, and real or imaginary?
2 real
What is the equation of a circle at h,k?
(X-h)^2+(y-k)^2=r^2
Name a property of square roots.
- perfect square roots exist for perfect squares only
- square root of an even number is even
- square root of an odd number is odd
- square root of a neg number is imaginary
What is the square root of -256?
16i
Vertex Form is?
F(x)=a(x-h)^2+k
What is the quadratic formula?
x equals negative b plus or minus the square root of b squared minus 4ac all divided by 2a
What is the equation of a circle when the center is 0,0?
x^2+y^2=r^2