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CBSE Class 10 Answered

The number of polynomials having zeroes -3 and 5 is A) only one B) infinite C) exactly two D) at most two
Asked by rashmij34 | 21 Mar, 2023, 17:01: PM
answered-by-expert Expert Answer
Polynomial having zeroes as -3 and 5 is given by
k (x -(- 3))(x - 5)
=k (x + 3)(x - 5)
= k (x² - 2x  - 15)
 
k can take infinite values, hence there will be infinite number of polynomials.
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