Q2 of 84 Page 54

Factorize the following polynomials.

(x-5)2–(5x-25)-24

(x-5)2 – 5(x-5) -24

Put (x – 5) = a


⟹ a2 – 5a - 24


⟹ a2 – 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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