Question 926699
The remainder theorem states that when you divide a polynomial by a linear expression such as x-c, the remainder is equal to the original polynomial evaluated at c.  So in this example, the remainder theorem would state that when we divide {{{T(x)=3x^4-x^2+4}}} by {{{x+3}}} (add 3 to both sides in the equation x=-3), the remainder will be T(-3).  The letters P(x) are not specific - they can be anything, in this case they are T(x).  So, all we need to do is {{{T(-3)}}} which is 238.