if alpha and beta are zeroes of a polynomial f(x)=xsquare -p(x+2)-cthen find the value of (alpha+2) (beta+2)
Asked by nayan kumar | 23rd Jun, 2013, 11:17: AM
Expert Answer:
f(x) = x2 -px - 2p - c
Sum of roots = alpha + beta = p
Product of roots = (alpha) (beta) = -(2p+c)
Now, we have:
(alpha+2) (beta+2) = (alpha) (beta) + 2 alpha + 2 beta + 4 = -(2p +c) + 2p + 4 = 4 - c
Answered by | 23rd Jun, 2013, 11:48: AM
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