Question

if 1 zero of polynomial p(x)=5x³+13x-k is reciprocal of other then find the value of k​

Answer 1

Answer:

Given that,

p(x)=5x

2

+13x−a

Here, a=5,b=13 & c=−a

Let, the zeroes are α,

α

1

Product of zeroes (α×

α

1

)=

a

c

⟹1=

5

−a

⟹5=−a

∴a=−5