CBSE Class 10 Answered
Find all the zeros of the polynomial
+
–6x –3, if two of its zeros are -
and ![square root of 3](https://www.topperlearning.com/public/wiris/ckeditor4/plugins/ckeditor_wiris/integration/showimage.php?formula=e30552d90b4df3969408e18176d357fc)
Asked by everest11311 | 02 Mar, 2019, 19:19: PM
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, 22:20: PM
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