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CBSE Class 10 Answered

Solve it
Asked by navneetpra499 | 19 Jul, 2022, 05:06: AM
Expert Answer
Let f(x) = x2 - x - 2
Using space relation space between space zeroes space and space coefficients space we space get
straight alpha plus straight beta equals 1 space and space αβ equals negative 2
rightwards double arrow straight alpha minus 2 over straight alpha equals 1
rightwards double arrow straight alpha squared minus straight alpha minus 2 equals 0
rightwards double arrow left parenthesis alpha minus 2 right parenthesis left parenthesis straight alpha plus 1 right parenthesis equals 0

rightwards double arrow straight alpha equals 2 space space o r space space alpha equals negative 1
W h e n space alpha equals 2 comma space w e space g e t space straight beta equals negative 1
W h e n space alpha equals negative 1 comma space w e space g e t space beta equals 2
rightwards double arrow 2 straight alpha plus 1 equals 5 space space and space space 2 straight beta plus 1 equals negative 1 space space o r space space 2 straight alpha plus 1 equals negative 1 space space and space space 2 straight beta plus 1 equals 5
So comma space the space required space polynomial space is
left parenthesis straight x minus 5 right parenthesis left parenthesis straight x plus 1 right parenthesis equals straight x squared minus 4 straight x minus 5
Answered by Renu Varma | 19 Jul, 2022, 03:08: PM
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