Make up a polynomial that has the following characteristics: crosses the x-axis at -1 and 4, touches the x-axis at 0 and 2, and is above the x-axis between 0 an

Question

 Recall that f(x) = (x - 3) has a zero at x = 3. So if you were given a zero as x = 5, then one of the factors of the polynomial would be (x - 5). Our problem gives you the zeros. Use those zeros to create factors for the polynomial. 

Answer 1

f(x) = x(x+1)(x-4)(x-2)