Characteristics of Quadratics
What is the general form of a quadratic function?
How do you add Polynomials?
How do you multiply polynomials?
Multiply each term and combine
How do you find the discriminate?
b^2 - 4ac
What is factoring?
The process of taking quadratics in general form and converting it to factored form.
What is the factored form of a quadratic form?
f(x) = a(x - r1)(x - r2)
Solve (3x2 + 2x + 5) + (6x + 7)?
3x2 -4x +12
Solve (x + 6)(x + 12)?
x2 + 18x +72
How many solutions(s) are there if b2 - 4ac = 0?
one solution
Factor 6x2 + 7x -49?
(3x - 7)(2x + 7)
What does the r value?
x intercept
How do you subtract polynomials?
Solve (n + 3)2?
n2 + 6n +9
What is the quadratic formula?
x= -b ± √b2 -4ac/2
What is completing the square?
The process of rewriting a quadratic expression in standard form to vertex form.
What is the vertex form of quadratic function?
f(x) = a(x - h)2 + k
Solve: (x + 6) - (3x - 5)?
2x + 11
9x - 49
What is the answer to 2x2 + 2x - 12= 0 using the quadratic formula?
x= 2 & -3
Solve x2 + 4x + 1 = 0?
X= -2 ± √3
What do you get from the vertex form?
Transformation of the quadratic function
Solve (5x2 - 24x +2) - (-10x2 + 5x +6)?
15x2 - 29x -4
Solve (-6x - 7y2)2?
36x2 + 84xy2 + 49y4
What is the discriminant for 3x2 +4x - 8 = 0?
112
Solve a2 -11/12a + c?
121/576