find the sum and product of zeroes of the polynomial 3x^2-5x+6.
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it was impossible yar because it has no roots so there is no sum and product
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Let α be first zero
Let β be second zero,
Now from above
Sum of zeroes= -b/a
Product of zeroes= c/a
from the equation we get,
b= -5
a= 3
c= 6
Now, By applying formula
α+β= -(-5)/3
---> 5/3
Now,
α•β= 6/3
--> 2
Now putting values in the quadratic formula
x^2-(α+β)x+(α•β)
x^2-5/3x+2
Let β be second zero,
Now from above
Sum of zeroes= -b/a
Product of zeroes= c/a
from the equation we get,
b= -5
a= 3
c= 6
Now, By applying formula
α+β= -(-5)/3
---> 5/3
Now,
α•β= 6/3
--> 2
Now putting values in the quadratic formula
x^2-(α+β)x+(α•β)
x^2-5/3x+2
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