Class 9 / Maths

Class 9 Maths Polynomials Notes

Notes on polynomial degree, terms, coefficients, zeroes, and factorization basics.

mediumRevision notes

Key points

  • A polynomial is an expression with variables and non-negative integer powers.
  • The degree is the highest power of the variable.
  • A zero of a polynomial makes its value equal to zero.

Degree and type

A linear polynomial has degree 1, a quadratic polynomial has degree 2, and a cubic polynomial has degree 3.

Students should identify the highest power after arranging terms properly.

Zero of a polynomial

To check whether a number is a zero, substitute it into the polynomial.

If the result is zero, the number is a zero of the polynomial.

Quick practice

  1. Find the degree of 2x^4 - 3x + 1.
  2. Check whether x = 1 is a zero of x - 1.
  3. Write one quadratic polynomial.

Related practice

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