(x + 9) and (x + 12) are possible dimensions of the solar panel
Explanation:Given:
[tex]The\text{ area of the solar panel is }x^2\text{ + 21x + 108}[/tex]To find:
The possible dimensions of the solar panel
To determine the possible dimensions, we will factorise the quadratic function:
[tex]\begin{gathered} x^2\text{ + 21x + 108} \\ factors\text{ of 108 whose sum gives 21: 12 and 9} \\ x^2+\text{ 21x + 108 = x}^2\text{ + 12x + 9x + 108} \end{gathered}[/tex][tex]\begin{gathered} x^2\text{ + 12x + 9x + 108 } \\ x(x\text{ + 12\rparen + 9\lparen x + 12\rparen } \\ (x\text{ + 9\rparen\lparen x + 12\rparen } \\ \\ x^2\text{ + 21x + 108 = \lparen x + 9\rparen \lparen x + 12\rparen} \end{gathered}[/tex](x + 9) and (x + 12) are possible dimensions of the solar panel
