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1. Find out all the zeroes of the polynomial and their multiplicity. Utilizes the fact above to find out the x-intercept which corresponds to each zero will cross the x-axis or only touch it and if the x-intercept will flatten out or not.
2. Find out the y-intercept, (0, P (0)) .
3. Utilizes the leading coefficient test to find out the behavior of the polynomial at the end of the graph.
4. Plot a few more points. It is left intentionally vague. The more points which you plot the better the sketch. At the least you must plot at least one at either end of the graph & at least one point among each pair of zeroes.
We must give a quick warning regarding this process before we really try to use it. This procedure supposes that all the zeroes are real numbers. If there are any complex zeroes then this procedure may miss some pretty significant features of the graph.
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
Given f(x)= 2+3x-x 2 and g(x) =2x-1 evaluate ( fg ) ( x ) , (fog)(x) and (gof )(x) Solution These are the similar functions that we utilized in the first set of instances
Here are two one-to-one functions f (x ) and g ( x ) if (f o g )( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are
Question 1 [7 marks] The reduced row echelon form of ? ? ? ? ? ? ? ? ? ? ? ? 3 4 17 22 1 2 5 row a b A is equal to ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 0 0 0 1 2 1 2 0 3 R . (a) What can
-4(2y+x)-5(x-5y) simplify
x+3/4=41/3
how to master college algebra and pass with an "A"
There is a third method that we'll be looking at to solve systems of two equations, but it's a little more complicated and is probably more useful for systems with at least three e
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