Find the zeros of the following quardric polynomials and verify the relationship between the zeroes and the coefficients.
i) $x^{2} - 2 x - 8$

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Solution

$x^{2} - 2 x - 8$
$x 2 - 4 x - 2 x - 8$
$x (x - 4) - 2 (x + 4)$
$(x + 4) (x - 2) = 0$
Sum of roots = $- b / a = - \frac{(- 2)}{1} = 2$
Product of roots = $\frac{c}{a} = - \frac{8}{1} = - 8$

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Find the zeros of the following quardric polynomials and verify the relationship between the zeroes and the coefficients. i) x2−2x−8

x2−2x−8 x2−4x−2x−8 x(x−4)−2(x+4) (x+4)(x−2)=0 Sum of roots =−b/a=−(−2)1=2 Product of roots =ca=−81=−8

Find the zeros of the following quardric polynomials and verify the relationship between the zeroes and the coefficients.
i) $x^{2} - 2 x - 8$

$x^{2} - 2 x - 8$
$x 2 - 4 x - 2 x - 8$
$x (x - 4) - 2 (x + 4)$
$(x + 4) (x - 2) = 0$
Sum of roots = $- b / a = - \frac{(- 2)}{1} = 2$
Product of roots = $\frac{c}{a} = - \frac{8}{1} = - 8$