Q. 65.0( 9 Votes )
If one zero of the polynomial 4x2 – 8kx – 9 is the negative of the other. Find the value of k?
Answer :
The polynomial 4x2 – 8kx – 9 is quadratic hence it will have two zeroes
Let one zero of polynomial be α
As the other one is negative hence it would be –α
Thus, α and –α are roots of 4x2 – 8kx – 9
Compare 4x2 – 8kx – 9 with ax2 + bx + c = 0
a = 4, b = –8k and c = –9
Sum of roots of quadratic = 
Substituting the value of b and a
⇒ 8k = 0
⇒ k = 0
Hence k = 0
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