Question

find the value of k if (x-1) is a factor of g(x) = kx² -6x - 3k​

Answer 1

Answer:

Find the value of k, if x=3 is a factor of ... f(x)=k²x³-kx²+3kx-k ... If (x - @) is a factor of a polynomial,then @ is zero of a ... → 0 = k²(3)³-k(3)²+3k(3)-k ... →k=0 or ...

Answer 2

Step-by-step explanation:

Let f(x) be the given polynomial.

f(x)=k²x³-kx²+3kx-k

Given that x=3

If (x - @) is a factor of a polynomial,then @ is zero of a polynomial

So,

f(x)=f(3)

Substituting the required value,

f(3)=k²x³-kx²+3kx-k

→0 = k²(3)³-k(3)²+3k(3)-k

→0=27k²-9k+9k-k

→27k²-k=0

→k(27k-1)=0

→k=0 or 27k=1

→k=1/27 or 0