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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.
how to find the zero of an equation
5x+2x-17=53
Factor Theorem For the polynomial P ( x ) , 1. If value of r is a zero of P ( x ) then x - r will be a factor of P ( x ) . 2. If x - r is a factor of P ( x ) then r will
ellie uses 12.5 pounds of potatoes to make mashed potatoes. she uses one-tenth as many pounds of butter as potatoes. how many pounds of butter does ellie use
-56
a+1/2=1
5(-4x+70+5
The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know
Donna is 4 years older then Chloe, Three years ago Donna''s age was three times Chloe''s age. Find the age of each girl
two debts- the first of 800 is due six month ago and the second of 1400 borrowed one year ago for a term of three years at 6.5% compunded annulallu are to be replaced by a single p
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