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If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign. - Mathematics

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Question

If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

If p(x) = ax3 + bx2 + cx + d

Then for all negative roots, a, b, c and d must have same sign.

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Chapter 2: Polynomials - Exercise 2.2 [Page 12]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 2 Polynomials
Exercise 2.2 | Q 2.(v) | Page 12
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