Polynomials
Gujarat Board · Class 10 · Mathematics
Quick revision notes for Polynomials — Gujarat Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Types of Polynomials
- A polynomial is an algebraic expression with variables raised to non-negative integer powers
- The degree of a polynomial is the highest power of the variable
- Linear polynomial: degree 1 (ax + b, where a ≠ 0)
Value and Zeros of Polynomials
- Value of polynomial p(x) at x = k is denoted as p(k)
- A real number k is a zero of polynomial p(x) if p(k) = 0
- To find p(k), substitute x = k in the polynomial expression
Geometrical Meaning of Zeros
- Zeros of polynomial are x-coordinates where graph intersects x-axis
- Linear polynomial graph is a straight line intersecting x-axis at one point
- Quadratic polynomial graph is a parabola (U-shaped or inverted U)
Relationship Between Zeros and Coefficients
- For quadratic ax² + bx + c with zeros α and β:
- Sum of zeros: α + β = -b/a
- Product of zeros: αβ = c/a
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What are the important topics in Polynomials for Gujarat Board Class 10 Mathematics?
Polynomials covers several key topics that are frequently asked in Gujarat Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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