Question

Find the value of k if x-3 is a factor of kx^2 + 3kx - k​

Answer 1

f(x)=kx^2+3kx-k

It is given that x-3 is a factor of f(x)

hence,x=3

put x=3 in f(x)

f(3)=k(3)^2+3k(3)-k

Since x-3 is a factor of f(x)

0=9k+9k-k

17k=0

k=0

Hope it helps you...