Find the quadratic polynomial whose zeroes are 2/3 and -1/4. Verify the relation between the
coefficients and the zeroes of the polynomial.
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Answer: 1/6 [ 12x^2 -5x -2 ]
OR 12x^2 -5x -2
Step-by-step explanation:
If a and b are zeroes of quadratic polynomial then Quadratic Polynomial is given by formula
x^2 - (a+b) x + ab
Here, a = 2/3 & b= -1/4
So, Required Quadratic Polynomial is
x^2 -(2/3-1/4) x + 2/3× (-1/4)
= x^2 -(5/12) x -1/6 OR
= 1/6 [ 12x^2 -5x -2 ]
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