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CBSE Class 10 Answered

find the zeroes of each of following quadilaterals polynomials and veerify the relationships between the zeroes and the coefficients :- 1.f(X) =x^2-15  
Asked by sureshraghavan11 | 30 Mar, 2019, 03:28: PM
answered-by-expert Expert Answer
f(x) = x2 - 15  ................................(1)
 
zeros of polynomial = begin mathsize 12px style plus-or-minus square root of 15 end style
for a quadratic equation , ax2 +bx +c = 0,
 
coefficient b = - (sum of roots)   and c = product of roots.
 
In the given quadratic equation (1), b = 0  and c = -15 ,
 
hence sum of roots  b = begin mathsize 12px style plus square root of 15 space minus space square root of 15 space equals space 0 end style  ,  c = begin mathsize 12px style open parentheses plus square root of 15 close parentheses cross times open parentheses negative square root of 15 space close parentheses space space equals space 15 end style
Answered by Thiyagarajan K | 30 Mar, 2019, 08:10: PM

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