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The given fact will relate all of these ideas to the multiplicity of the zero.
Fact
If x = r is a zero of the polynomial P (x) along with multiplicity k then,
1. If the value of k is odd then the x-intercept corresponding to x = r will cross the x-axis
2. If value to k is even then the x-intercept corresponding to x = r will just touch the x-axis and not cross it actually.
Furthermore, if k = 1 then the graph will flatten out at the point x = r .
At last, notice that as we consider x get large in both the +ve or -ve sense (that means at either end of the graph) then the graph will either increase with no bound or decrease without bound. It will always occur with every polynomial and we can employ the following test to find out just what will happen at the endpoints of the graph.
The diet problem, one of the earliest applications of linear programming, was originally used by hospitals to determine the most economical diet for patients. Known in agricultu
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x^2+11x+24=0
(4y2)(2y)
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how do you do proofs?
Quadratic Formula It is the final method for solving quadratic equations & it will always work. Not only that, although if you can recall the formula it's a fairly simple proc
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