- #1
red_raider
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I need to find the polynomial equation. The givens are: n=3; -5 and 4+3i are zeros; f(2)=91
I have no idea how to find this? Can you please help
I have no idea how to find this? Can you please help
Finding a polynomial equation with 3 zeros and a given function value means finding a polynomial function that has 3 distinct values where the output is equal to zero, and one specific input value where the output is equal to the given function value.
To find a polynomial equation with 3 zeros and a given function value, you can use the fact that a polynomial function with 3 zeros can be written in the form f(x) = a(x-x1)(x-x2)(x-x3), where a is a constant and x1, x2, and x3 are the zeros. You can then use the given function value to find the value of a, and you will have your polynomial equation.
If you have more than 3 zeros or more than one given function value, you can still use the same method as mentioned above. You will just have to use a higher degree polynomial, such as f(x) = a(x-x1)(x-x2)(x-x3)(x-x4)... or use a system of equations to solve for the coefficients.
Yes, you can use any real number for the zeros and the given function value. However, keep in mind that the more complex the numbers are, the more complicated the resulting polynomial equation will be.
Finding a polynomial equation with specific zeros and a given function value can be useful in solving real-world problems and modeling data. It allows us to create a function that accurately represents the given information and can be used to make predictions or solve equations.