Question

If 2 and 3 are the zeroes of polynomial 3x2-2kx+2m then value of k and m ​

Answer 1

Answer:

value of k and m is 0 (zero)

Step-by-step explanation:

3×3-2kx+2m

=0×0-0+0

=0

k=0

m=0

Answer 2

$\sf given \: \: that \: \: : \\ \: \sf \: \red 2 \: \: and \: \: \: \red 3 \: \: \: are \: \: \: zeros \: \:$

and,

$\boxed{ \sf p(x) = 3 {x}^{2} - 2kx + 2m}$

then,

$\rm \alpha + \beta = \frac{ - b}{a} \\ \\ \sf➸ \: \: \: \: 2 + 3 = \frac{ - ( - 2k)}{3} \\ \\ \sf➸ \: \: 15 = 2k \\ \\ \\➸ \boxed{ \sf\: \: \: k = \frac{15}{2} }$

and,

$\sf \alpha \beta = \frac{c}{a} \\ \\ \sf➸ \: \: 3 \times 2 = \frac{2m}{3} \\ \\ \sf➸ \: \: 2m = 18 \\ \\ \\ ➸ \: \: \boxed{ \sf m = 9}$