if the sum of the zeroes is 3 and the product of zeros is -2, then what is the quadratic polynomial formed
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s.oz=3
p.oz=-2
x2-3x-2
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0
Answer:
Let x and y be the zeors or roots of polynomial
Now,
According to the question,
x+y=3 and xy =-2
x=-2/y
putting the value of x ,
or, (-2/y)+y =3
or, -2 + y² = 3y
or, y² - 3y -2 =0 is required quadratic equation and
taking y = -2/x
putting value of y
x + (-2/x) = 3
or, x² -2 = 3x
or, x² -3x -2 = 0 is the required 2nd equn
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