Find a degree 4?

Question

polynomial having zeros - 8, - 2, 3 and 8 and the coefficient of x^4 equal 1

The polynomial is =

Answer 1

(x+8)(x+2)(x-3)(x-8)
is a "polynomial having zeros - 8, - 2, 3 and 8 and the coefficient of x^4 equal 1"

If x = -8, then the first factor is zero
If x = -2, then the second factor is zero
etc.

x^4 - x^3 - 70x^2 + 64x + 384

Answer 2

If r is a zero of a polynomial, then x-r is a factor.
So your polynomial is
(x+8)(x+2)(x-3)(x-8) = x^4 -x³ -70x² +64 x + 384.

Answer 3

if you have roots a,b,c,d the polynomial is
(x-a)(x-b)(x-c)(x-d)
Notice you change the sign of the roots
(x+8)(x+2)(x-3)(x-8)=
x^4-x^3-70*x^2+64*x+384