Question

Find the value for which (x_a)is a factor of x^6_ax^5+x^4_ax^3+3x

Answer 1

f(x) = x6 - ax5 + x⁴ - ax³ +3x

x-a =0

=> x = a

f(a) = a6 - aa5 + a⁴ - aa³ +3a=0

=> a6 - a6 + a⁴ - a⁴ +3a=0

=> 3a=0

=> a=-3