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

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Find the zeroes of the polynomial \(2x^2 + \frac{7}{2}x + \frac{3}{4}\), 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:

\(x = -\frac{1}{4}\)

\(x = -\frac{3}{2}\)

\frac{- constant}{coefficient of x^{2}} = \frac{- 3}{8}

\frac{coefficient of x}{coefficient of x^{2}} = \frac{7}{4}

\(x = -4\)

\frac{- coefficient of x}{coefficient of x^{2}} = \frac{- 7}{4}

\frac{constant}{coefficient of x^{2}} = \frac{3}{8}

\(x = \frac{2}{3}\)

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40. Exemplar problems XXI

Exercise condition: