Answer:
second option
Step-by-step explanation:
Given x = a, x = b are roots of f(x) then the factors are
(x - a) and (x - b)
and f(x) is the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
If the roots have multiplicity then the factor is repeated
x = a with multiplicity 2, then factors are (x - a) and (x - a)
Here a = 2
x = - 4 with multiplicity 3, thus factors (x + 4 ), (x + 4), (x + 4)
x = 10 with multiplicity 1 has factor (x - 10)
Thus the polynomial function is
f(x) = 2(x + 4)(x + 4)(x + 4)(x - 10)
