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

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Find the zeroes of the polynomial \(5t^2 + 12t + 7\) 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:

\(t = -1\)

\frac{- coefficient of t}{coefficient of t^{2}} = \frac{- 12}{5}

\frac{constant}{coefficient of t^{2}} = \frac{7}{5}

\(t = \frac{-7}{5}\)

\frac{constant}{coefficient of t^{2}} = \frac{- 7}{5}

\frac{- coefficient of t}{coefficient of t^{2}} = \frac{12}{5}

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

\(t = \frac{5}{7}\)

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38. Exemplar problems XIX

Exercise condition: