📘 Day 2 – Class 10 Maths: Polynomials
Free Notes | BookNNotes
What is a Polynomial?
A polynomial is an algebraic expression with variables and constants, where the powers of variables are whole numbers.
Example: 2x² + 3x + 5
Important Terms
- Coefficient: Number with variable (3 in 3x)
- Constant term: Term without variable (5)
- Degree: Highest power of variable
Types (by Degree)
- Linear (Degree 1): 2x + 1
- Quadratic (Degree 2): x² − 3x + 2
- Cubic (Degree 3): x³ + x² + x
Zeros of a Polynomial
The value of x for which the polynomial becomes zero is called its zero.
Example: x − 2 = 0 ⇒ x = 2 is the zero.
Key Point: Number of zeros = number of x-axis intersections of the graph.
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