Question

find the value of k if x minus 1 is a factor of 4 x cube + 3 x square - 4 x + k​

Answer 1

Answer:

-3

Step-by-step explanation:

Let f(x) = 4 x^3 + 3 x^2 - 4 x + k

Since, x-1 is a factor of f(x),

f(1) = 0

or, 4+3-4+k= 0

or, k = -3

Answer 2

Answer:

4x³ + 3x² - 4x + k = 0 ............[Equation 1]

As given, x - 1 is a factor

so, x = 1

Now, put the value of x in equation 1.

4x³ + 3x² - 4x + k = 0

4(1)³ + 3(1)² - 4(1) + k =0

4 + 3 - 4 + k = 0

3 + k = 0

3 = -k

-3 = k ..............[Answer]

Hence, the value of k is -3.