Answer:
D
Step-by-step explanation:
Given a polynomial f(x) with roots say x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the roots, that is
f(x) = (x - a)(x - b)
Here the roots are x = - 4, x = 0 and double root at x = 7
Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x
Given a double root at x = 7 the factor is (x - 7)², thus polynomial is
y = x(x + 4)(x - 7)² → D
