Answer:
The factorization of [tex]x^2-4x-5[/tex] is (x+1)(x-5)
Explanation:
Factorization is a method to find the factors of a polynomial or write the polynomial in simplified form.
Factorization method involves making pairs of the middle term with x and then making two linear factors.
Given
[tex]x^2-4x-5\\Factorizing\\=x^2-5x+x-5\\= x(x-5)+1(x-5)\\=(x+1)(x-5)[/tex]
Hence,
The factorization of [tex]x^2-4x-5[/tex] is (x+1)(x-5)