Question

The value of k, if (x - 1) is a factor of 4x3+ 3x2 - 4x+k, is *​

Answer 1

Answer:

x = 1

4*1^3 + 3*1^2 - 4*1 + k

4 + 3 - 4 + k

7-4+k

3+k

k= -3

hope it helps you

Answer 2

Solution:

To find => Value of k

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

Let's see value of x by equating x - 1 with 0,

x - 1 = 0

x = 1

So, x = 1 is a root of 4x³ + 3x² - 4x + k if it is factor of it.

Now, let's put value of x in 4x³ + 3x² - 4x + k

4(1)³ + 3(1)² - 4(1) + k = 0

4 + 3 - 4 + k = 0

3 + k = 0

k = -3

The value of k is -3