Question

please help me in this question​

Answer 1

it answer will be k will also be a zero of a polinomial

Answer 2

Thanks for question!!

Given :-

$p(x) = {x}^{2} - 3kx + 4k$

Let the zero of polynomial be Alpha and betta.

then A/Q

$\alpha = 2 \beta$

sum of zeroes=

$\alpha + \beta = - \frac{b}{a}$

putting the value of alpha in equation.

$3 \beta = 3k$

$\beta = k$

Now, product of zeroes

$\alpha \times \beta = \frac{c}{a}$

putting the value of alpha and

betta in equation.

$2 \beta \times \beta = 4k$

$2 {k}^{2} = 4k$

$2k = 4$

$k = 2ans...$

hence, value of k = 2