Question

if 2 is a zero of polynomial P (X)=kx2( + 3 k - 2) X + k then find the value of k

Answer 1

this is the answer...

Answer 2

Answer:

The value of k is $\frac{4}{11}$.

Step-by-step explanation:

The given polynomial is

$P(x)=kx^2+(3k-2)x+k$

If c is a zero of a polynomial, then P(c)=0.

It is given that 2 is a zero of a polynomial, therefore P(2)=0.

Put x=2 in the given polynomial.

$P(2)=k(2)^2+(3k-2)(2)+k$

$0=4k+6k-4+k$

$0=11k-4$

$4=11k$

$\frac{4}{11}=k$

Therefore the value of k is $\frac{4}{11}$.