Question

if (x-a) is a factor of x^3-mx^2-2nax+na^2,then prove that a=m+n and a not equal 0

Answer 1

using factors theorem

x = a

x^3 - mx^2 - 2nax + na^2 = 0

( a )^3 - m ( a )^2 - 2 na (a) + na^2 = 0

a^3 - ma^2 - 2na^2 + na^2 = 0

a^3 - ma^2 - na^2 = 0

a^2 ( a - m - n ) = 0

a^2 = 0. or. a - m - n = 0

a = m + n

Answer 2

hope it will help you..............