Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in standard form. 2, 1+square root of 7

Question

I just don't understand how you incorporate the square root into the answer.

Answer 1

I am going to assume that the polynomial requested MUST have rational coefficients.

Therefore, the polynomial is $(x-2)(x-1-\sqrt{7})(x-1+\sqrt{7})$ or

$x^3-4x^2-2x+12$