Question

for what values of K , is 3 a zero of the polynomial 2x^2 + K

Answer 1

substitute x with 3 and equate it to zero
2 (3×3)+k=0
18+k=0
k= -18
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Answer 2

The polynomial is :

2x² + x + k

Suppose, 3 is zero of polynomial for some value of k, then

2x² + x + k = 0

∴2(3)² + 3 + k = 0           (Putting x = 3)
∴2*9 + 3 + k = 0
∴18 + 3 + k = 0
∴21 + k = 0
∴k = -21

Thus, for k = -21, 3 is a zero of the polynomi