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CBSE Class 10 Answered

Find all the zeros of the polynomial 2 x cubed+ x squared–6x –3, if two of its zeros are -square root of 3
and square root of 3
Asked by everest11311 | 02 Mar, 2019, 07:19: PM
answered-by-expert Expert Answer
Polynomial p(x) = 2x3 + x2 -6x -3
 
if -√3 is zero of polynomial, then p(x) is exactly divisible by (x+√3) 
 
if √3 is zero of polynomial, then p(x) is exactly divisible by (x-√3)
 
Then p(x) is exactly divisible by (x+√3)(x-√3)  or exactly divisible by (x2 -3 )
 
if we divide p(x) by (x2 - 3 ) , we get quotient  (2x+1) .  Hence the third zero of polynomial is -(1/2)
Answered by Thiyagarajan K | 02 Mar, 2019, 10:20: PM
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