CBSE Class 10 Answered
if alpha and beta are the zeros of the quadratic polynomial f(x)=x square -x-2 find a polynomial whose zeros are 2alpha +1 and 2 beta+1
Asked by ajayrath7 | 02 Mar, 2019, 09:20: AM
Expert Answer
f(x) = x2 -x -2 = (x-2)(x+1)
hence α = 2 and β = -1
new roots : 2α + 1 = 5 and 2β +1 = -1
polynomial of second degree (quadratic eqn.) p(x) = x2 - (sum of roots)x + (product of roots)
polynomial with roots (2α + 1) and (2β +1) is , p(x) = x2 - (5-1)x -5 = x2 -4x -5
Answered by Thiyagarajan K | 02 Mar, 2019, 01:45: PM
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