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The area of a rectangular garden is square metres. Which pair could be its length and breadth?

Class 9PolynomialsPolynomials
  • A and
  • B and
  • C and
  • D and

Step-by-Step Solution

Area = length × breadth, so factorise. Two numbers with product 10 and sum 7 are 5 and 2, giving . Check the rejected pair — right middle term, wrong constant.
Answer: B) and

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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