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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.
-2
|3-x\2|-3>2 less then equal to
f(x) = x3 - 9x + 3
what are the steps to find the quotient of two rational expressions?
In the last two sections of this chapter we desire to discuss solving equations & inequalities that have absolute values. We will look at equations along with absolute value in th
Definition of an exponential function If b is any number like that b = 0 and b ≠ 1 then an exponential function is function in the form,
what is 8 14/10 in simplest form
3_-1 x+2 --- 1+_2 x+2
how do you change this (x+2y=10) equation into "y" form ?
how to find the zero of an equation
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