Question

What is the factored form of x2 − 4x − 5?

(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)

Answer 1

x^ − 4x − 5 = (x - 5)(x+1)
answer is (x − 5)(x + 1) (last choice)

Answer 2

option (d) is correct.

The factored form of the given equation
`x^2-4x-5` is
`\left(x+1\right)\left(x-5\right)`

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)`