Question

Find the value of k if ( x -3 ) is a factor of k^2 x^3 – kx^2 + 3kx – k.Write answer with proper definition will be marked brainliest....

Answer 1

Since (x - 3) is factor of k²x³ - kx² + 3kx - k = 0

Therefore 3 is solution of above Equation

now, k²x³ - kx² + 3kx - k = 0

k (kx³ - x² + 3x - 1) = 0

•°• kx³ - x² + 3x - 1 = 0

put x = 3

•°• k(3)³ - (3)² + 3(3) - 1 = 0

27k - 9 + 9 - 1 = 0

27k - 1 = 0

27k = 1

k = 1/27 is Answer