Question

If one zeroof the polynomial p(x)=5x^+13x+k is reciprocal of the other then the value of k is​

Answer 1

Step-by-step explanation:

Let the zeros of the polynomial be α and β.

Then,

α = x

β = 1/x

Here,

a = 5

b = 13

c = K

Now,

product of zeros =

α×β = c/a

x×1/x = K /5

1 = k/5

K = 5

Hence, the value of K is 5.

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