Question

Find a polynomial of degree n that has only the given zeros. x = −6, 3, 4; n = 3

Answer 1

3rd degreee has 3 zeros
easy
x=-6
x+6=0

x=3
x-3=0

x=4
x-4=0

f(x)=(x+6)(x-3)(x-4)
expanded
f(x)=$x^3-x^2-30x+72$