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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