Question

1] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.

n=​3;

2 and 5i are zeros;

f(1) = 52

f(x)= ?

​(Type an expression using x as the variable. Simplify your​ answer.)

2] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.

n= 3;

- 3 and 7+2i are zeros;

f(-1)= 136

f(x)= ?

​(Type an expression using x as the variable. Simplify your​ answer.)

3] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.

n= 4;

i and 5i are zeros;

f(-1) = 104

f(x) = ?

​(Type an expression using x as the variable. Simplify your​ answer.)

Answer 1

i