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3 votes
Factorize 4x^3+24x^2

2 Answers

4 votes
4x^2(x+6)
You factor out 4x^2 and put it outside the bracket :)
User Brian Deterling
by
7.6k points
3 votes


\text{Hey there!}


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


\textsf{Factors of each of your numbers}\downarrow


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


\mathsf{GCF\ of\ 4x^3\ \& \ 24x^2\ is\ 2x^2 }


\mathsf{\rightarrow\ New\ equation: 2^2 * 2(x +6)}


\mathsf{2^2 = 2*2 = 4}


\mathsf{4* x^2(x + 6)}\\\mathsf{4(x^2) = 4x^2}


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


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


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


\textsf{Good luck on your assignment and enjoy your day!}

~
\frak{LoveYourselfFirst:)}

User James Clark
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7.4k points