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

Write a polynomial function f of least degree that has

Answer 1

x=-2

x=1+sqr7

(x+2) is one factor

x-1=sqr7

x^2-2x+1=7

(x^2-2x-6) is another factor

y=(x+2)(x^2-2x+6)= x^3+2x+12