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:

$t = -1$

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

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

$t = \frac{-7}{5}$

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

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

$t = \frac{-1}{4}$

$t = \frac{5}{7}$

Did you find an error?

38. Exemplar problems XIX