Exemplar problems XXVI — task. Mathematics CBSE, Class 10.

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Find the zeroes of the polynomial

$7y^2 - \frac{11}{3}y - \frac{2}{3}$ , and verify the relation between the coefficients and the zeroes of the polynomial.

Answer:

The zeroes are

and

Sum of the zeroes

$=$

Product of the zeroes

$=$

Answer variants:

$y = \frac{2}{3}$

$\frac{- constant}{coefficient of y^{2}} = \frac{- 2}{21}$

$\frac{- coefficient of y}{coefficient of y^{2}} = - \frac{11}{21}$

$y = -\frac{2}{3}$

$y = \frac{1}{7}$

$y = \frac{-1}{7}$

$\frac{constant}{coefficient of y^{2}} = \frac{- 2}{21}$

$\frac{- coefficient of y}{coefficient of y^{2}} = \frac{11}{21}$

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45. Exemplar problems XXVI