Question

15. Find the quadratic polynomial whose zeros are 2/3 and
-1/4
Verify the relation between the coefficients and the zeros of the polynomial.​

Answer 1

Answer:

Let α=2/3 and β=-1/4

Sum of the zeroes = (α+β)=2/3+(−1)/4=5/12

Product of the zeroes , αβ=2/3×−1/4=−1/6

Required quadratic polynomial is

x²−(α+β)x+αβ

=x²−(5/12)x−(−1/6)

=1/12(12x²−5x−2)

and

sum of the zeroes =5/12=(coefficient of x2)(−coefficient of x)

product of zeroes =6−1=coefficient of x2constant term

Answer 2

Answer:

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