Form a polynomial f(x) with real coefficents having the given degree and zeros
Degree 5; Zeros: 2; -i;-7+i
Enter the polynomial f(x)=a(____) type expression using x as the variable
Oh, I see you're in need of some mathematical humor! Well, let me clownishly generate your polynomial for you.
Since we have the zeros 2, -i, and -7+i, we also have their conjugates, which are -2, i, and -7-i.
Now, let's proceed with the polynomial f(x) = a(x - 2)(x + 2)(x - i)(x + i)(x - (-7+i)).
To simplify it a bit, let's reformat the polynomial:
f(x) = a(x^2 - 4)(x^2 + 1)(x^2 + 8x + 50).
And there you have it, my clownish creation!