Question

....solution
If x+2 is factor of 2x^2 +5k then find k?​

Answer 1

If x+2 is the factor of 2x^2+5k then we can write that her p(x)=2x^2+5k

where g(x)=x+2

If g(x)=0

then x+2=0

or. x=-2

putting x=-2 in p(x)

p(-2)=>2*(-2)^2 +5k=0

2*4+5k=0

8+5k=0

5k=-8

k=-8/5

Answer 2

Answer:

x+2 is factor of

$2 {x}^{2} + 5k$

put x= -2 in

$2 {x}^{2} + 5k = 0$

$2( {2}^{2}) + 5k = 0 \\ 8 + 5k = 0 \\ \\ k = \frac{ - 8}{5}$