Find a polynomial equation with integral coefficients that has the given numbers as solutions and the indicated degree. 3, 5, −4; degree 3

Question

Struggling, have gotten different answers, but none have been correct. Thanks

Answer 1

Use the factored form:

f(x) = (x-3)(x-5)(x+4)

It's degree 3 because you have three x factors multiplied together, The "solutions" are the values of x that make each binomial factor (e.g, x-3) equal to zero. So if 3 is a solution, (x-3) is a factor because (3-3) = 0. Multiply it out to put it into standard form.