find the quadratic polynomial whose sum and product of zeroes are -5/3 and -2/3 respectively
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Answer:
We have
sum of zeros= -5/3
product of zeros= -2/3
so, required quadratic polynomial is
k[x²-(sum of zeros)x+product of zeros]
where k is a constant
=k[x²-(-5/3)x+(-2/3)]
=k[x²+5x/3-2/3]
=k[3x²+5x-2/3]
taking k=3
=3[3x²+5x-2/3]
=3x²+5x-2
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