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Factorise .

Class 9PolynomialsPolynomials
  • A
  • B
  • C
  • D

Step-by-Step Solution

Write it as . That is exactly with and , so the expression equals . The two negative cross terms both involve , so is the term that carries the minus sign.
Answer: D)

Key idea: Finding zeros (roots)

**Linear**: ax + → . One zero.

Example: → .

**Quadratic**: solve by factorisation, or quadratic formula (Class 10).

Example: . Factor: → or . Two zeros.

**General principle**: a polynomial of degree n has AT MOST n real zeros.

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