Solving the quadratic, cubic and quartic equations

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  Similarly, if we have a cubic equation, it will cut the x-axis at three points, a quartic would cut at 4 points, a pentic would cut at 5 points, and so on. This graphical explanation supports the fundamental theorem of algebra.

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  115257 Polynomial: linear, quadratic, cubic, or quartic Determine if possible whether f(x)=3x^3-2x^2-7x+5 has a zero between a=1 and b=2.

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• History of Algebra

  The ancient Babylonians have solutions to linear and quadratic equations, but did not have general cubic equation until the Renaissance Italy.

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  Thus, We need to multiply this quadratic by another quadratic function to get the quartic. Thus The number that will multiply by 13 to give -13 is -1, thus c=-1. The number that will multiply by 1 to give 1 is 1 (a=1).

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  x3 - 11x2 + 24x = 0 x = (smallest value) x = x = (largest value) Answer: x = 0(smaller value) x = 3 x = 8( larger value) The solutions to all the problems are provided. The expert solves quadratic and cubic equations.