Find the zeroes of each of the following quadratic polynomial and verify the relationship between zeroes and their coefficient of p(X) = root 3X2+10X+7 root 3
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Step-by-step explanation:
√3x²+10x+7√3
√3x²+(√3)²x+7x+7√3=0
√3x((x+√3)+7(x+√3)=0
(x+√3)(√3x+7)=0
x=a=-√3
x=b=-7/√3.
{a+b)=-b/a
a+b=-√3-7/√3
=-3-7/√3
=-10/√3=-b/a.
ab=c/a
ab=-√3(-7/√3)
= 7
c/a=√3(7/√3)=7.
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