Question

If one root of the polynomial f (x) = 5x² + 13x + k is reciprocal of the other, then the value of k is
A. 0
B. 5
C. 1/6
D. 6

Answer 1

Answer:

k is 5

I think it's the answer

Answer 2

B. 5

Step-by-step explanation:

Given: Polynomial f (x) = 5x² + 13x + k  

α and β are the zeroes of the polynomial such that β = 1/α

Sum of zeroes = -b/a = -13/5 = α + 1/α

Product of zeroes = c/a = k/5 = α * 1/α = 1

 k / 5 = 1

Therefore k = 5.

Option B is the answer.