Classes IX & X Mathematics

Chapter 2: Polynomials

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Class Syllabus Selection

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Example 1

Applying Factor Theorem

Is (x - 2) a factor of P(x) = x³ - 3x² + 4x - 4?

Calculation Steps:

  1. 1Evaluate P(2) by substitution.
  2. 2P(2) = 2³ - 3(2)² + 4(2) - 4.
  3. 3P(2) = 8 - 3(4) + 8 - 4 = 8 - 12 + 8 - 4 = 0.
  4. 4Since P(2) = 0, (x - 2) is a factor.
SolutionYes