(x-5)²-(5x-25)-24, Factorize the given polynomial.
Answers
Answered by
89
( 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)
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)
Answered by
50
Given (x-5)²-(5x-25)-24
= x²-10x+25-5x+25-24
= x²-15x+26
Splitting the middle term,
= x² - 2x - 13x + 26
= x(x-2)-13(x-2)
= (x-2)(x-13)
Therefore ,
( x-2) , (x-13) are two factors.
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