Question

If =

5

2

is a zero of the polynomial 2

2 − − 12, then find the value of k.​

Answer 1

Answer:

Let the polynomial be p(x).

If 2 is a zero, then p(2)=0.

p(x)=2x

2

+kx−14

p(2)=2(2

2

)+2k−14=0

⟹ 2(4)+2k−14=0

⟹ 8+2k−14=0

⟹ 2k−6=0

⟹ 2k=6.

Hence, k=3.

Therefore, option B is correct.