Question

Anna made an error in determining the polynomial equation of smallest degree whose roots are ,-4,-2, -1/2 and 2.

Answer 1

I just need to know if the first part is correct?

Answer 2

The first part *is* set up correctly for the given roots, there’s an arithmetic error somewhere after that

Answer 3

they didnt distribute (x^2-4) correct?

Answer 4

The error is before that.

(x-2)(x+2)(2x+1)(x-2)

(x-2)(x+2) is (x^2-4), they got that right, but (2x+1)(x-2) is 2x^2 + 9x - 4. They wrote x^2 instead of 2x^2