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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.
I am finishing a quadratic equation problem and I am left with 3 plus or minus the square root of 361 all over 2. what next?
What two numbers multiplied equal 216 but added together equal -42?
x=y=3 , 2x-y=5
I have a 12.2 bottle of mustard. I use 1/20 of mustard per serving per hot doog. How much mustard do I have left after 4 servings of hot dogs.
(x2y4m3)8
head start
Log(8)10 Find the approximation and exact value. log(5)317 Find the approximation and exact value
-4/2+3i
let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is
In this section we will look at exponential & logarithm functions. Both of these functions are extremely important and have to be understood through anyone who is going on to late
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