Find zeros of polynomial 3x^2-3root3x+2 and verify the relationship between the zeros and the coefficients
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By factorisation method ,
roots of this polynomial are: x=√3/3, 2√3/3
verification :
sum of zeroes =√3/3+2√3/3=3√3/3=√3
=-b/a
=3√3/3=√3
√3=√3
product of zeroes=√3/3*2√3/3=6/9=2/3
=c/a
=2/3
2/3=2/3
roots of this polynomial are: x=√3/3, 2√3/3
verification :
sum of zeroes =√3/3+2√3/3=3√3/3=√3
=-b/a
=3√3/3=√3
√3=√3
product of zeroes=√3/3*2√3/3=6/9=2/3
=c/a
=2/3
2/3=2/3
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