Question

If (x-1) is a factor of 4x^3 + 3x² - 4x + k​

Answer 1

Answer:

K= -3

Step-by-step explanation:

Given: (x-1) is a factor of 4x³ + 3x² - 4x +k

which means the remainder becomes zero.

x-1 = 0 => x=1

So, put x= 1 in the given expression.

=> 4(1)³ + 3(1)² -4(1) +k =0

=> 4 + 3 - 4 + k =0

=> 7 - 4 + k = 0

=> 3 + k = 0

=> k = -3

Hope it helps you.

Thank you