Question

6. Write the zeroes of polynomial 4V3 x2 + 5x-2 v3.​

Answer 1

Hence the zeroes are -2/√3 and √3/4

Sum of the roots = -2/√3 + √3/4 = -2√3/3 + √3/4 = (-8√3

Sum of the roots = -b/a = -5/4√3 = -5√3/12

Hence sum of the roots =-b/a.

Product of the roots = (-2/√3)(√3/4) = -1/2.

Product of the roots = c/a = -2√3/4√3 = -1/2.

So product of the roots = c/a.

Thus, the relationship between the roots and coefficients is verified.