Respuesta :
Answer:
[tex](x+1)(x-5)[/tex]
Step-by-step explanation:
Factor by Grouping
[tex]x^2-4x-5\\\\x^2+x-5x-5\\\\x(x+1)-5(x+1)\\\\(x-5)(x+1)\\\\(x+1)(x-5)[/tex]
Therefore, [tex](x+1)(x-5)[/tex] is correct
The factors of the equation are (x-5) and (x+1).
What is polynomial?
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown.
We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
Polynomial; [tex]\rm x^2-4x-5=0[/tex]
To find the factors of the polynomial follow all the steps given below.
Then,
The factors of the polynomial are;
[tex]\rm x^2-4x-5=0\\\\x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x-5)(x+1)=0[/tex]
Hence, the factors of the equation are (x-5) and (x+1).
To know more about the polynomial link is given below.
brainly.com/question/17822016