Answer:
option (d) is correct.
The factored form of the given equation [tex]x^2-4x-5[/tex] is [tex]\left(x+1\right)\left(x-5\right)[/tex]
Step-by-step explanation:
Given : equation [tex]x^2-4x-5[/tex]
Consider the given equation [tex]x^2-4x-5[/tex]
We can solve the given equation using middle term splitting method.
Split middle term in such a way that the product of its terms is the product of its remaining two terms.
-4x can be written as x - 5x
[tex]x^2-4x-5[/tex] can be written as [tex]x^2+x-5x-5[/tex]
Taking x common from first two term and -5 common from last two terms, we have,
[tex]x(x+1)-5(x+1)[/tex]
Simplify, we have,
[tex]\left(x+1\right)\left(x-5\right)[/tex]
Thus, The factored form of the given equation [tex]x^2-4x-5[/tex] is [tex]\left(x+1\right)\left(x-5\right)[/tex]
