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

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Find the zeroes of the polynomial \(4x^2 - 3x - 1\) 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{constant}{coefficient of x^{2}} = \frac{1}{4}

\frac{constant}{coefficient of x^{2}} = \frac{- 1}{4}

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

\(x = 1\)

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

\(x = \frac{4}{3}\)

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

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

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36. Exemplar problems XVII

Exercise condition: