How would i write a polynomial equation from the roots 3 and 2+√7?
Note that is a zero, which implies is a factor of the polynomial
Note that is a zero, which implies is a factor of the polynomial. We also need the conjugate of our previous zero to keep the coefficients clear of square roots. That implies that is a factor of the polynomial.
Thus, your polynomial as a product of factors is
Foil this out and see what you get.
Does this make sense?