Respuesta :

To calculate the quadratic equation below:

[tex]6x^2+23x+7[/tex]

Step 1: break the expression into groups

[tex]\begin{gathered} 6x^2+23x+7 \\ 6x^2+2x+21x+7 \end{gathered}[/tex]

Step 2: factor out 2x, and 7 from first and second

[tex]2x(3x^{}+1)+7(3x+1)[/tex]

Step 3: Factor out common fact

[tex](3x+1)(2x+7)[/tex]

Hence the final answer = (3x+1)(2x+7)