Q. 124.6( 16 Votes )
If α and β are the zeros of the quadratic polynomial p(x) = 4x2 – 5x – 1, find the value of α2β + αβ2
Answer :
Concept Used:
For a quadratic polynomial,
P(x) = ax2 + bx + c
Sum of the roots 
The product of roots 
Given:
p(x) = 4x2 – 5x – 1
Explanation:
For given p(x), we get
a = 4, b = –5, and c = –1
α2β + αβ2 = αβ(α + β)
α2β + αβ2 
Hence, the value of α2β + αβ2 is –5/16.
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