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

Exercise condition: