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Polynomials
Mathematics · CBSE Class 10 · English Medium · 20 questions and answers
Sample questions
- Q: What is the degree of a quadratic polynomial?
- A: 2. Its general form is ax^2+bx+c with a\ne0.
- Q: What is a zero of a polynomial p(x)?
- A: A value k for which p(k)=0.
- Q: Geometrically, what does a zero of a polynomial represent?
- A: The x-coordinate of a point where the graph of y=p(x) meets the x-axis.
- Q: How many zeroes can a quadratic polynomial have at most?
- A: At most 2, since its graph (a parabola) can cut the x-axis at most twice.
- Q: For ax^2+bx+c, what is the sum of the zeroes?
- A: Sum =-\dfrac{b}{a} (i.e. -\dfrac{\text{coeff. of }x}{\text{coeff. of }x^2}).
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