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

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Find the zeroes of the polynomial

$t^3 - 2t^2 - 15t$ 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

$=$

Sum of product of zeroes taken two at a time

$=$

Answer variants:

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$t = 5$

$\frac{coefficient of t}{coefficient of t^{3}} = - 15$

$t = 3$

$t = -5$

$t = 1$

$t = 0$

$t = -3$

$\frac{- coefficient of t^{2}}{coefficient of t^{3}} = 2$

$\frac{- constant}{coefficient of t^{3}} = 0$

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39. Exemplar problems XX