Q. 2 B3.6( 23 Votes )

# Factorize the following polynomials.

(x-5)^{2}–(5x-25)-24

Answer :

(x-5)^{2} – 5(x-5) -24

Put (x – 5) = a

⟹ a^{2} – 5a - 24

⟹ a^{2} – 8a + 3a -24

⟹ a (a-8) + 3(a-8)

⟹ (a-8) × (a+3)

⟹ But a = (x – 5)

⟹ (x – 5 - 8) × (x-5 +3)

⟹ (x – 13) × (x-2)

Therefore, the factorized form of the polynomial = (x – 13) × (x-2)

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