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# CBSE Class 10 Answered

if a and b are zeros of polynomialf(x)=x2-3x-2,find the quadratic polynomial whose zeros are 1/2a+b and 1/2b+a
Asked by katyalaanchal | 26 May, 2011, 12:00: AM Expert Answer
It is given that a and b are zeros of polynomial f(x)=x2-3x-2.
Therefore, a+b=3
ab=-2
Now, the zeroes of the required quadratic polynomial are Sum of roots = Product of roots = Now, the required quadratic polynomial is given by:
x2 - (Sum of roots)x + (Product of roots)
Now, substitute the values
Answered by | 26 May, 2011, 10:31: PM

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