Question

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

Answer 1

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 $\left(x+1\right)\left(x-5\right)$

Answer 2

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