Question

Findthevalueofk,if（x-1）isafactorof4xcube+3x^-4x+k

Answer 1

QUESTION :

Findthevalueofk.

if（x-1）isafactorof4xcube+3x^-4x+k

ANSWER:

GIVEN :

$(x - 1)$

is a factor of

$4 {x}^{3} + 3 {x}^{2} - 4x + k$

so

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

putting the value of x in given polynomial

$p(1) = 4× {1}^{3} + 3× {1}^{2} - 4 \times 1 + k \\ 4 + 3 - 4 + k = 0 \\ 3 + k = 0 \\ k = - 3$

FINAL ANSWER :

K= -3.

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