Factorize the following polynomial (x – 5)2 – 5(x – 5) – 24
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(x-5)²-(5x-25)-24, Factorize the given polynomial.
( x - 5)^2 - 5(x-5) - 24
Let x - 5 =a
= a^2 - 5a - 24
= a^2 - 8a + 3a - 24
= a (a-8) + 3(a-8)
= (a+3)(a-8)
= (x - 5 +3)(x-5 - 8)
= (x - 2)(x-13)
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