Find the product of 4x² -5t, and 25 xt
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Answer:
Quadratic Graphs
Definitions
quadratic
expression an expression of the form ax² + bx + c where a, b and c are numbers and x is the variable
(note that b and c can be zero, but a must be non-zero so that there is always an x² term)
e.g. x² + 5x + 6, 3x² – 3x + 17, 8x², 4x² – 25, 12x² – 30x
quadratic
equation an equation which can be written with a quadratic expression on one side and zero on the other
e.g. x² + 5x + 6 = 0, 3x² – 3x + 17 = 0, 4x² – 25 = 0
note that quadratic equations sometimes need rearranging to get zero on one side
e.g. x² = 3x – 2 can be rearranged to give x² – 3x + 2 = 0
quadratic
function a name normally given to a function of the form y = ax² + bx + c which is used to calculate y coordinates from given x coordinates so that these can be plotted on a graph
roots of a
quadratic the roots of a quadratic equation are the solutions to that equation
e.g. the roots of the equation x² + 5x + 6 = 0 are x = –2 and x = –3
Answer:
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