The degree of the polynomial function f(x) is 4 the roots of the equation f(x)=0 are -4,-1, 2 and 5 which graph could be the graph of f(x)

If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.

Thus, the polynomial will have form

where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.

The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).

b

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square