Find m so that x + 4 is a factor of 5x3 + 18x2 + mx + 16

Answer:     refresh if you're seeing display errors/not displaying properly======for  to be a factor of  then dividing  by  must have a remainder of 0. a remainder of 0 means  divides evenly into  .we can use the  remainder theorem to find the value of  the remainder theorem says the remainder of the division of a polynomial function  by a binomial of the form  is given by  .  is the  value of the polynomial function when you plug in into the function ; that is the remainder.note how we can rewrite  as  in the remainder theorem, we'd use a = -4.if we let  , then  is the remainder of dividing  by  . this remainder should be 0.    is function notation. since  , we can find  by replacing all  with  .