write the polynomial function with given

Question

write the polynomial function with given:

1. degree 3 zero -2 multiplicity 2, zero -1 multiplicity 1
2. 1+ radical 3, 1- radical 3

Answer 1

1) (x+2)^2(x+1)

2) ((x - 1) - sqrt(3) ) ( (x - 1) + sqrt(3)) =

(x-1)^2 - 3 <--- Cross terms cancel out on FOIL

x^2 - 2x - 2