Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1) -2, -1, 1

2) i, 4

3) i, 2 - √3

4) 1, 4, 1 + √2

Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

 

1) -2, -1, 1

2) i, 4

3) i, 2 - √3

4) 1, 4, 1 + √2

anonymous · Answer

Hint: $(x-a)(x-b)(x-c)$ will have zeroes a, b, and c.

anonymous · Answer

I am really confused lol

anonymous · Answer

In other words, if you have zeroes a, b, and c, a polynomial that would have those zeroes would be $(x-a)(x-b)(x-c)$.

anonymous · Answer

So for 1 it would be like (x-2)(x-1)(x-1) I'm sorry I'm not good at math at all

anonymous · Answer

You have the right idea...just be careful with your signs.

anonymous · Answer

So did I do the first one right? lol