find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and and coefficient of polynomial 6x²-x-2.
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Question

find the zeroes of the quadratic polynomial and verify the
relationship between the zeroes and and coefficient of polynomial
6x2-x-2
rn
answrr fastt

Gursheen kaur. · Accepted Answer

The quadratic polynomial is f(x)= 6x2-x-2 $∴ 6 x^{2} - x - 2 = 0 6 x^{2} - 4 x + 3 x - 2 = 0 2 x (3 x - 2) + 1 (3 x - 2) = 0 (2 x + 1) (3 x - 2) = 0$ The zeros of f(x) are given by f(x) = 0 Either 2x+1=0 or 3x-2=0 x=-1/ 2 , x=2/3 $Thus, the zeros of f (x) a r e α = \frac{- 1}{2} and β = \frac{2}{3} Now, Sum of zeros = α + β = \frac{- 1}{2} + \frac{2}{3} = \frac{- 3 + 4}{6} = \frac{1}{6} and Also, - \frac{Coefficient of x}{Coefficient of x^{2}} = \frac{- (- 1)}{6} = \frac{1}{6} ∴ Sum of zeros = - \frac{Coefficient of x}{Coefficient of x^{2}} Now, Product of zeros = α × β = \frac{- 1}{2} \times \frac{2}{3} = \frac{- 1}{3} Also, \frac{Constant term}{Coefficient of x^{2}} = \frac{- 2}{6} = \frac{- 1}{3} ∴ Product of zeros = \frac{Constant term}{Coefficient of x^{2}}$

find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and and coefficient of polynomial 6x2-x-2.rnanswrr fastt...

find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and and coefficient of polynomial 6x²-x-2.
rn
answrr fastt...