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If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial. - Mathematics

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Question

If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

If the graph of a polynomial intersects the x-axis at exactly two points.

Then it may or may not be a quadratic polynomial.

As, a polynomial of degree more than 2 is possible which intersects the x-axis at exactly two points when it has two real roots and other imaginary roots.

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Chapter 2: Polynomials - Exercise 2.2 [Page 11]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 2 Polynomials
Exercise 2.2 | Q 2.(iii) | Page 11
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