Question

i have the answer for the problem but i dont know how to solve it...

find a polynomial function with real coefficients and of least possible degree having the given zeros. Let the leading coefficient be 1

8,2,3

Answer 1

f(x) = (x-8)(x-2)(x-3)

Answer 2

am I just suppose to distribute??

Answer 3

If a polynomial has those zeros, then:

x=8
x=2
x=3

think of it like a quadratic

so,

x-8=0
x-2=0
x-3=0

therefore

(x-8)(x-2)(x-3) = f(x)

Answer 4

yeah, just distribute that

Answer 5

Thanks!