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

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Find the zeroes of the polynomial \(3x^2 + 4x - 4\) by factorisation method 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:

\frac{- coefficient of x}{coefficient of x^{2}} = \frac{4}{3}

\(x = -2\)

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

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

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

\frac{constant}{coefficient of x^{2}} = \frac{4}{3}

\frac{- coefficient of x}{coefficient of x^{2}} = \frac{- 4}{3}

\frac{constant}{coefficient of x^{2}} = \frac{- 4}{3}

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37. Exemplar problems XVIII

Exercise condition: