Question

find the value of k if x minus 1 is a factor of 4x^3 + 3x^2 - 4x + k​

Answer 1

hey mate:

given here,polynomial

4x³+3x²-4x+k=0. ...(1)

if x-1 is a factors of polynomial (1)

so, x=1 exist this polynomial

now, put x=1 in (1)

=>4(1)³+3(1)²-4(1)+k=0

=>4+3-4+k=0

=>k= -3

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Answer 2

HEY DUDE HERE'S YOUR ANSWER

$x - 1 = 0 \\ x = 1$

$f(x) = 4 {x}^{3} + 3 {x}^{2} - 4x + k$

$f(1) = 4 \times 1 + 3 \times 1 - 4 \times 1 + k \\ 3 + k = 0 \\ k = - 3$

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