If the solution of a polynomial fucntion is x=-5 then the linear factor is (x-5)

No. It would be (x + 5)

Step-by-step explanation:

set each of the factors as equal to 0. So if you do x+5=0 then solve for x by subtracting 5 from both sides you get x = - 5

The clue is to switch the sign from the factor to get the value of the variable and vice-versa.