Question

If the polynomial x3+mx2+nx+6 has x-2 as a factor and leaves remainder 3,
when divided by x-3, find the values of m and n

Answer 1

Answer:

Let p(x) = x3 + mx2 + nx + 6 be the given polynomial. Then, (x - 2) is a factor of p(x) It is given that p(x) leaves the remainder 3 when it is divided by (x - 3).