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CBSE Class 10 Answered

If alpha and beta are the zeroes of the polynomial f (x) = x square -p (x+1) - c such that (alpha + 1)(P+1) =0. Find c?
Asked by Kournivjot | 10 Jul, 2019, 03:13: PM
answered-by-expert Expert Answer
α and β are the zeroes of the polynomial f(x) = x2 - p(x + 1) - c  = x2 - px - p - c 
Here a = 1 , b = - p and c = - p - c 
 
α + β = -b/a = -(-p)/ 1 = p   ... (i) and αβ = c/a = -p - c / 1 = - p - c .... (ii)
 
 
We have (α + 1)(β +1) =0
→ αβ + α + β +1 = 0
→ - p - c + p + 1 = 0   ... from (i) and (ii)
→  c = 1
Answered by Yasmeen Khan | 10 Jul, 2019, 03:25: PM

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