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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
answered-by-expert 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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