Question

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

Answer 1

Answer:

Step-by-step explanation:

X-1 = 0

X = 1

4x³+3x²-4x+k = 0

4(1)³+3(1)²-4(1)+K = 0

4+3-4+k = 0

3+k = 0

K= -3

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Answer 2

Answer:

Step-by-step explanation:

As  X-1 is factor

so

x -1 = 0

or, x= 1

now , given that,

f(x) = 4x³ + 3x² - x + k

by factor theorem

f(1) = 0

or,

     ⇒ 4 × 1³ + 3 ×1² - 4×1 + k = 0

0r,   4+3-4+k =o

or k = (-3)

hence , the value of k is -3