Question

If all three zeroes of a cubic polynomial x^3+ax^2+bx+c are positive, then at least one of a, b and c is non negative. state true or false and justify your answer. ​

Answer 1

Answer:

If all the zeroes of a cubic polynomial x³ + ax² - bx + c are positive, then all a, b and c is negative. The given statement is false. Thus, the constant 'a' is negative. Thus, the constant 'b' is negative.

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