Question

if x- a is a factor of x ^3 - 5 x^2 a + 4 a^2 x + m then find the value of m​

Answer 1

${\red{\bf{Hola!!}}}$

if x-a is a factor of the given polynomial

to find:-
value if m
putting x-a =0
x=a

x³-5x²a+4a²x+m=0

(a)³-5(a)²a+4a²(a)+m=0

a³-5a³+4a³+m=0

-4a³+4a³+m=0

0+m=0

${\boxed{\purple{\bf{m=0}}}}$