Answer

By division algorithm for polynomials, we have

f(x) = g(x)q(x) + r(x)

If f(x) has to be divisible by g(x), then r(x) = 0

i.e. -r(x) should be added to f(x).

Here, r(x) = -61x + 65

-r(x) = 61x - 65

Hence, 61x – 65 should be added.