Find the remainder of (h^4+h^2-2)/(h+3)

, so by the polynomial remainder theorem, the remainder is 88.

To verify this, we can compute the quotient remainder:

, and . Subtracting from the numerator gives a remainder of

, and . Subtracting from the previous remainder gives a new remainder of .

, and . Subtracting from the previous remainder gives a new remainder of .

, and . Subtracting from the previous remainder gives a new remainder of , which doesn't contain factors of , so we're done.

This means we have

the answer

b. they are parallel and will never intersect.

answer: i think it is (1,-2)