Question a student is asked to write the polynomial function with least degree and

Question

a student is asked to write the polynomial function with least degree and a leading coefficient of 1 that

has the zeros 2+1,2-1, 2 ,and -3. the student uses these zeros to find the corresponding factors,

and multiplies them together to obtain:

p(x) = x+(-1 - v2 )x3 - (7- v2 )x2 + (15+7 ve )x - 15 v3.

what error did the student make? what is the correct function?

the function must have zeros. the irrational zero vi must be paired with its conjugate

the correct function is p(x) =