Polynomial in standard form

Question

Write polynomial in standard form with degree of 4 leading coefficient of 1 and zeros at 5, 3, -2, and 4 with y-intercept at -120

Answer 1

The given zeros can be written as the product of the binomial factors (x-5)(x-3)(x+2) and (x-4).

Multiplying all this out gives x^4-10x^3+23x^2+34x-120, which satisfies the given criteria.