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| PAGE: 216 | SET: Exercises | PROBLEM: 49 |
One of the curve has three zeros at 
, 
and 
.
Since curve has three 
-intercepts it is a third degree polynomial.
The curve has zeros at 
and 
.
Since curve has two 
-intercepts it is a second degree polynomial.
The curve has zero at .
Since curve has one -intercept it is a first degree polynomial.
The third degree polynomial be the original function 
.
The derivative of a cubic function is a second degree function that means 
is a quadratic function.
The derivative of a second degree function is a first degree function means 
is a linear function.
Therefore third degree polynomial is correspond to .
Simillarly second degree is correspond to .
First degree is correspond to .
Graph :
Draw a coordinate plane Indicate the functions 
, 
and 
correspondingly.
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.
Draw a coordinate plane Indicate the functions , and correspondingly.
.
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