Find the quadratic polynomial whose zeroes are 2/3 and -1/4 . Verify the relation between the coefficient and the zeroes of the polynomial . Answer is 12x^2 -5x -2
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Answer:
A quadratic equation is of the form ax2+bx+c
The roots of the equation to be formed are given as.
Therefore,
the sum of roots = -2/3 + 3/4
= 1/12
Product of roots = -2/3 ×3/4
= -1/2
so the quadratic equation to be formed is of the form
x2-(sum of roots)x + product of roots
x2-x/12-1/2
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