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 | 26th 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  | 26th May, 2011, 10:31: PM

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