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Quadratics
Question | Answer |
---|---|
quadratic | Algebra. involving the square and no higher power of the unknown quantity; of the second degree. |
Discriminant | b² - 4ac |
Parabola | the graph of a quadratic function is u-shaped |
vertex | the highest or lowest point on the parabola |
axis of symmetry | the vertical line through the vertex |
factoring | finding an equivalent expression to an expression that is a product of expressions |
greatest common factor | the product of scaler factoring |
prime solution | solution is not factorable |
primary and secondary root | primary = positive root from solution of radical secondary = negative root from solution of radical |
imaginary unit | i |
square root property | take square root of both sides of equation after squared variable is isolated |
4 methods to solve quadratic equations | 1) table of values 2) factoring 3) completing the square 4) quadratic formula |
Quadratic Function | A function of the form y = ax 2 + bx + c , where a≠ 0 , and a , b , and c are real numbers. |
Standard Form | a, b and c are known values. a can't be 0. |
complex solutions | When the Discriminant (the value b2 - 4ac) is negative we get Complex solutions ... what does that mean? |
Plus/Minus | ± |
zeros | They are also called "roots", or sometimes??? |
Quadratic Formula | x = [ -b ± √(b2-4ac) ] / 2a |
Completing the Square | is a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals. This technique can be used when factoring a quadratic equation does not work or to find irrational and complex roots. |
square root property | is one method that is used to find the solutions to a quadratic (second degree) equation. This method involves taking the square roots of both sides of the equation. . |