Write a polynomial function of the least degree with integral coefficients that has the given zeros.
1 answer:
You might be interested in
First find common factor for parameters. I mean to find common factor number 9,15,12
first, write the divisors:
Divisors of 9: 1,3,9
divisors of 12: 1,2,3,4,6,12
divisors of 15: 1,2,3,5,15
so see, that GCF of 9,12,15 is 3.
Now, count GCF of x^2, x^4, x^6
GCF 2,4,6 is 2, so the result is x^2
and know finally GCF these terms is
first, write the divisors:
Divisors of 9: 1,3,9
divisors of 12: 1,2,3,4,6,12
divisors of 15: 1,2,3,5,15
so see, that GCF of 9,12,15 is 3.
Now, count GCF of x^2, x^4, x^6
GCF 2,4,6 is 2, so the result is x^2
and know finally GCF these terms is
What you can do for this case is graph the data in a computer program, for example, excel and look for the trend line of the function.
For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
The function that best suits the problem is:
y = 1.4004ln (x) + 0.2158
The value of R ^ 2 indicates the accuracy of the function
R² = 0.9691
For R ^ 2 = 1 the function is completely accurate.
We note that in that case R² = 0.9691, the function chosen has a good approximation.
For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
The function that best suits the problem is:
y = 1.4004ln (x) + 0.2158
The value of R ^ 2 indicates the accuracy of the function
R² = 0.9691
For R ^ 2 = 1 the function is completely accurate.
We note that in that case R² = 0.9691, the function chosen has a good approximation.