a fifth-degree polynomial can have five turning points in it Graphs? why?

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a fifth-degree polynomial can have five turning points in it Graphs? why?

2007-03-08 12:29:36 · 2 answers · asked by sakon m 1 in Education & Reference ➔ Homework Help

2 answers

It should only have 4 turning points. For a polynomial of one variable, the # of turning points is defined by (degree - 1).

2007-03-12 06:13:49 · answer #1 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋

Take this fifth degree polynomial as an party. (x-a million)(x-2)(x-3)(x-4)(x-5)=0. Its ideas are x=a million,2,3,4 and 5. So it must have a minimum of four turning factors to flow the x axis this many cases.

2016-12-05 10:43:37 · answer #2 · answered by endicott 4 · 0⤊ 0⤋