CBSE Class 10 Polynomials — Complete Guide

Polynomials is a scoring chapter in CBSE Class 10 Mathematics, worth 3-4 marks. Master the zeros-coefficient relationship and division algorithm for guaranteed marks.

Quick Revision: Key Concepts

• Zeros: Values of x where p(x) = 0 (x-intercepts on graph)
• Sum of zeros (α + β): −b/a
• Product of zeros (αβ): c/a
• Form polynomial: k[x² − (sum)x + (product)]
• Division algorithm: p(x) = g(x) × q(x) + r(x)

Board Exam Pattern

1-2 MCQs on zeros-coefficient relationship, 1 short answer on finding zeros and verifying relationship or forming a polynomial from given zeros.

Most Important Questions

1. Find zeros of a quadratic polynomial and verify sum/product relationship
2. Find quadratic polynomial with given sum and product of zeros
3. Divide one polynomial by another and verify division algorithm
4. Find remaining zeros given one or two zeros