Question

$find \: \: the \: \: value \: \: of \: \: k \: \: if \:x-1 \\ \: is \: \: a \: \: factor \: \: of \: 4x ^{3} + 3x^{2} - 4x + k$
​

Answer 1

Answer:

${\underline{\red{answer࿐}}}\maltese \: \: p(x) = 4x^{3} + 3x ^{2} - 4x + k \\ p(1) = 4x(1) ^{3} + 3x(1) { }^{2} - 4 \times 1 + k \\ = 4 + 3 - 4 + k \\ = 3 + k \\ 3 + k = 0 \\ k = - 3$

Answer 2

if x−1 is a factor of given eqn then it will satisfy this eq ,x−1=0,x=1kx,

2x² +kx+√2

2+k+√2 =0

k=−( 2 +2)

hope this helps u!!..