Question

write a polynomial in simplest form with roots 2,-2 and 4

Answer 1

If we know a polynominal has a root "a" then we know that (x-a) is a factor of that polynomial. For example, you have roots -2, 2, and 4, so your polynomial has these factors:
\[(x-2)(x+2)(x-4)\]Multiply these out to get your polynomial.

Answer 2

\(\bf ax^n + bx + c = (x \pm m)(x\pm m)(x\pm m) ...\)

Answer 3

is the answer x^3-4x^2-4x+16