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If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat.
This fact says that if you list out all the zeroes & listing each one k times where k is its multiplicity you will have exactly n numbers in the list. Another manner to say this fact is that the multiplicity of all the zeroes has to add to the degree of the polynomial.
It will be a nice fact in a couple of sections when we go into detail regarding finding all the zeroes of polynomial. If for a polynomial we know an upper bound for the number of zeroes then we will know while we've found all of them and thus we can stop looking.
Logarithm Functions In this section now we have to move into logarithm functions. It can be a tricky function to graph right away. There is some different notation which you
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
YOU EARN 15N DOLLARS FOR MOWING N LAWNS.HOW MUCH DO YOU EARN FOR MOWING ONE LAWN? SEVEN LAWNS?
In the earlier section we solved equations which contained absolute values. In this section we desire to look at inequalities which contain absolute values. We will have to exami
Example Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example. Follo
7+87-34
s-1.75=0.02
-56
Example Solve out following. 5 3x =5 7x-2 Solution In this we have the similar base on both exponentials hence there really
y2/3(y4/3\y1/3
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