Factor the polynomial by grouping. 6c^2+41c+63 this factors into:(Answer + 7)(Answer + Answer)

Given:
The polynomial is,
[tex]6c^2+41c+63[/tex]Factor the polynomial,
[tex]\begin{gathered} 6c^2+41c+63 \\ =6c^2+14c+27c+63 \\ =(6c^2+14c)+(27c+63) \\ =2c(3c+7)+9(3c+7) \\ =(3c+7)(2c+9) \end{gathered}[/tex]Answer:
[tex]6c^2+41c+63=(3c+7)(2c+9)[/tex]