Question

find a polynomial of degree 3 that has zeros 1,-1 and 4

Answer 1

(x-1)(x+1)(x-4)

Answer 2

\[(x-1)(x+1)(x-4)\] will do it. you have to multiply out probably

Answer 3

X^3-4x^2-x+4

Answer 4

how di du find that?

Answer 5

Will, we are looking for zeros at -1,1, and 4
So, poylinomial is fairly easy to do, since we simply have to factor it and set each term equal to zero. A polynomial wiht zeros at -1,1, and 4 is given by (x+1)=0, (x-1)=0, and (x-4)=0

Answer 6

http://www.wolframalpha.com/input/?i=+%28x-1%29%28x%2B1%29%28x-4%29

Answer 7

in each case solve for x

Answer 8

clear yes? factor theorem says that if r is a zero of p(x) then p(x) = (x-r)q(x)
just factor all the way down