7. To normally simplify this
x2
2x 35
x+5
we would try to factor the numerator and cancel like terms from top and bottom. But
what if we don’t know how to factor the numerator? Try long division.
8. Suppose we happen to know that f (3) = 0 where
f (x) = x3
4x2
65x + 132
. Long division can help us factor and find the remaining zeros.
9. The function f (x) = x3 +3x2 49x+45 has one zero at x = 1. Find the remaining zeros.
10. Long division can be useful for relating new functions to old ones.
h(x) =
3x + 5
1
is similar to
x+2
x
Examples: