Question

If one zero of the quadratic polynomial x2+3x+kx2+3x+k is 2, then find the value of k.

Answer 1

Answer:

put x=2

4+6+4k+6+k =0

16+5k=0

5k=-16

k=-16/5

Answer 2

Answer:

k =-16/5

Step-by-step explanation:

As 2 is the zero of p(x), then

p(2) = 0

=> 2² + 3(2) +k(2)² + 3(2)+ k =0

=> 4+ 6+4k +6+ k =0

=> 5k= -16

Therefore k = -16/5