Class 10 Math All topics Polynomials
If all three zeroes of a cubic polynomial are positive, then which of the following is correct about and ?
(a)
must be positive
(b)
must be positive
(c)
must be positive
(d)
must be negative
Correct answer: (a)
Solution: Let the roots of the equation be
Then, sum of roots, . Thus, is negative.
Product of roots, taken two at a time, . Thus is positive
Product of roots, . Thus is negative.
Hence, and have -ve sign, but has +ve sign.

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introduction to trigonometry
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Get answers to your doubts.
introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
surface areas and volumes