Systems
y=a(x-h)^2+k
What is vertex form?
(-b/(2a),f(-b/(2a)))
2x^3-4x=2x(x^2-2)
What is greatest common factor?
Simplify
sqrt(96)
4sqrt(6)
Two parallel lines
y=ax^2+bx+c
What is standard form?
(-b+-sqrt(b^2-4ac))/(2a
What is the quadratic formula?
(a+b)(a-b)
What is the difference of squares factor pattern?
Evaluate
i^122
-1
Explain the conditions that will make a system of equations have infinitely many solutions.
y=a(x-P)(x-Q)
What is intercept form?
b^2-4ac
(a+b)(a^2-ab+b^2)
What is the sum of cubes factor pattern?
Give an example of a parabola in vertex form whose vertex is in the 3rd quadrant, faces down, and is wider than y = x^2
Example: y = -0.5(x+3)^2-4
What is the slope of the equation 5x + 3y = 15?
-5/3
Under what conditions would ax^2+bx+c = 0 have two imaginary solutions?
If b^2-4ac<0
If ab = 0, then a = 0 or b = 0
What is the Zero Product Property
(a-b)(a^2+ab+b^2)
What is the difference of cubes factor pattern?
What is the coefficient of x^2 in the expansion of (x - 2)^5?
-80
What is the x-intercept of the equation 5x + 3y = 15?
(3, 0)
-b/a
((P+Q)/2,f((P+Q)/2))
What is the formula for finding the vertex in intercept form?
a+bi and a - bi
What are complex conjugates?
Find all roots for
2x^3-x^2+8x-4=0
-2i, 2i, 1/2