Question

Show that (x-5) is a factor of x³-3x²-4x-30 by Remainder theorem

Answer 1

Simple x=5
then in place of x put 5
then you get
5^3-3(5)^2-4(5)-30
after solving this you will get
0
then it is the factor of the given polynomial

Answer 2

we can prove this by dividing the polynomial by x-5