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Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.?
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Q6. If the graph of a polynomial intersects the x- axis at exactly two...
Explanation:

Intersecting x-axis at exactly two points:
- When a polynomial intersects the x-axis at exactly two points, it means that the polynomial has two distinct real roots.
- These real roots are the values of x for which the polynomial equals zero.

Possibilities of polynomial:
- If a polynomial intersects the x-axis at exactly two points, it can be a quadratic or a linear polynomial.
- A linear polynomial has a degree of 1 and can have only one real root, making it impossible for it to intersect the x-axis at two points.
- A quadratic polynomial has a degree of 2 and can have two distinct real roots, allowing it to intersect the x-axis at two points.

Conclusion:
- Therefore, the correct option is: It can be a quadratic polynomial only.
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Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.?
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Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.?.
Solutions for Q6. If the graph of a polynomial intersects the x- axis at exactly two points, then which of the following options is correct? * 1 point It cannot be a linear or a cubic polynomial. It can be a quadratic polynomial only. It can be a cubic or a quadratic polynomial. It can be a linear or a quadratic polynomial.? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
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