Question

find the zeros of the polynomial f(x)=6x²- 3 and verify the relationship between the zero and it's coefficients​

Answer 1

Answer:

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Answer 2

Let f(x)=6x^2=3
X=1/sqrt2, -1/sqrt2
Let zeros of f(x); p=1/sqrt2, u=1/sqrt2
By comparing given polynomial with standard polynomial ax^2+bx+c
a=6, b=0, c=-3
Sum of zeroes of f
Sum of zeroes of f(x)=0
Sum of zeroes. =-b/a=0
Product of its zeroes= _1/2
Product of its zeroes= c/a=_3/6=_1/2
The relationship between zeroes and its coefficients is verified