Question

find the value of k such that (x-2) is a factor of the polynomial x^3+kx^2-5x-6​

Answer 1

p(x)=    x^3+kx^2-5x-6​

g(x)=  (x-2)

zero of g(x):-

x-2=0

x=0+2

x=2

putting 2 in p(x)

p(2)=(2)^3+k(2)^2-5(2)-6

        8+4k-10-6 = 0 (as it is a fcator)

        -8+4k=0

        4k=8

           so k=2

PLS MARK BRAINLIEST

THANK YOU

SIGNING OFF

Answer 2

Step-by-step explanation:

if the give (x-2) is a factor than the equation bes'

x³ + kx² - 5x - 6=0

and the equation solves as follows........

thanks you

mark as brainlist if the answer was use full