Respuesta :

4x^2(x+6)
You factor out 4x^2 and put it outside the bracket :)

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{4x^3+24x^2 = [blank]}[/tex]

[tex]\textsf{Factors of each of your numbers}\downarrow[/tex]

[tex]\bullet\ \mathsf{4x^3: 1,2,4,x, x, x}\\ \bullet \ \mathsf{24x^2: 1,2,3,4,6,8,12, 24, x, x}[/tex]

[tex]\mathsf{GCF\ of\ 4x^3\ \& \ 24x^2\ is\ 2x^2 }[/tex]

[tex]\mathsf{\rightarrow\ New\ equation: 2^2 \times 2(x +6)}[/tex]

[tex]\mathsf{2^2 = 2\times2 = 4}[/tex]

[tex]\mathsf{4\times x^2(x + 6)}\\\mathsf{4(x^2) = 4x^2}[/tex]

[tex]\rightarrow{\mathsf{New\ equation/your\ answer: \ \bf{4x^2 (x+6)}}[/tex]

[tex]\mathsf{Which\ gives\ us\ our\ answer: {\underline{4x^2(x + 6}}}[/tex]

[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{{\mathsf{\underline{\bf{4x^2(x + 6})}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]