Answer:
option (d) is correct.
The factored form of the given equation \(x^2-4x-5\) is \(\left(x+1\right)\left(x-5\right)\)
Step-by-step explanation:
Given : equation \(x^2-4x-5\)
Consider the given equation \(x^2-4x-5\)
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
\(x^2-4x-5\) can be written as \(x^2+x-5x-5\)
Taking x common from first two term and -5 common from last two terms, we have,
\(x(x+1)-5(x+1)\)
Simplify, we have,
\(\left(x+1\right)\left(x-5\right)\)
Thus, The factored form of the given equation \(x^2-4x-5\) is \(\left(x+1\right)\left(x-5\right)\)
