Isabella is making a bracelet for her friend. She has to decide which type of band to use, either leather or Siver. She also pla
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Simplest polynomial function is
Solution:
Given data:
Zeroes are 3i, –1, 2.
3i is a complex root of the function.
If 3i is a zero of the polynomial then –3i is also a zero of the polynomial.
Therefore zeroes are 3i, –3i –1, 2.
By factor theorem,
If a is zero of the function, then (x – a) is a factor of the polynomial.
So, the factors are (x – 3i), (x + 3i), (x + 1), (x –2).
On multiplying the factors, we get the polynomial.
Since the value of
Simplest polynomial function is
Given the function:
First, the graph of the function will be as shown in the following figure:
For the given rational function, we will find the following:
Domain = ( -∞, 0 ) ∪ ( 0, ∞ )
Range = ( -∞, 2) ∪ (2, ∞ )
Increasing = Φ
Decreasing = ( -∞, 2) ∪ (2, ∞ )
All asymptotes:
Vertical asymptote: x = 0
Horizontal Asymptote: y = 2
All limits:
