A limit is a point beyond which a line does not extend or pass. A limit exists if both sides of the function are approaching the same number. When the discontinuity jumps from one line to another, the limit tells us how close to a number each side of the graph gets to.
To find the easy zeros, graphing the polynomial function is the most effective way. The easy zeros are all whole numbers that touch the x-axis. To find all hard zeros, divide all easy zeros through the polynomial function. Depending on the highest power a variable is raised to in the function, depends on how many zeros you are looking for. For example, is the function x^4-9x^3+18x^2+32x-96 is looking for 4 zeros. After synthetically dividing you should end up with (x-4)(x-4)(x+2)(x-3). To find all four zeros, set each equal to zero; you will be left with -2, 3, 4, 4. The degree of the polynomial will always tell you how many zeros are in the polynomial, but it will not always tell you the amount of real numbers.
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April 2015
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