find the quadratic polynomial whose sum and productof roots are 2 and -3/5
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Step-by-step explanation:
Required polynomial=
x²-(sum of zeroes)x+ product of zeroes
[equation of quadratic polynomial]
x²-2x+ -3/5
=x²-2x-3/5
Taking 1/5 common
=1/5(5x²-10x-3)
1/5(5x²-10x-3) and 5x²-10x-3 have same zeroes
Therefore, the polynomial is 5x²-10x-3
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