The first step when factoring any polynomial is to find the greatest common factor which reduce the constant term and the coeffiecient of the polynomial.
To describe the first step when factoring any polynomial can be explain through an example.
Example - [tex]x^2+5x+6=0[/tex]
The factors of the above example can be determine by using the following steps:
Step 1 - First find the greatest common factor.
[tex]x^2+3x+2x+6=0[/tex]
Step 2 - Now, take out the common terms.
[tex]x(x+3)+2(x+3)=0[/tex]
Step 3 - Further simplify the above equation.
[tex](x+3)(x+2)=0[/tex]
From the above steps it can be concluded that the first step when factoring any polynomial is to find the greatest common factor which reduce the constant term and the coeffiecient of the polynomial.
For more information, refer the link given below:
https://brainly.com/question/19508597
