Question

Find if x – 1 is the factor of 4x3 – 3x2 + 4x – 5​

Answer 1

Given

Find if x – 1 is the factor of 4x3 – 3x2 + 4x – 5​

Answer

x - 1 is a factor of 4x^3 + 3x^2 -4x +k

then x=1 is one root of 4x^3 + 3x^2 -4x +k

put x= 1

4x^3 +3x^2 -4x +k = 0

=> 4 (1)^3 +3 (1)^2-4 (1) +k =0

=> 4 + 3 - 4 + k = 0

=> k = -3