Answer:
Step-by-step explanation:
3[tex]x^{3}[/tex] + 24[tex]x^{2}[/tex] + 48[tex]x[/tex]
you need to look for least common value of the coefficient and variables.
for coefficient;
3, 24, 48
the least common multiple is 3
for variables;
[tex]x^{3}[/tex], [tex]x^{2}[/tex], [tex]x[/tex]
the least common value is [tex]x[/tex]
there the common value is 3[tex]x[/tex]
you need to divide this to the equation on each terms.
[tex]\frac{3x^{3} }{3x } + \frac{24x^{2} }{3x } + \frac{48x }{3x}[/tex]
[tex]x^{2}[/tex] + 8[tex]x[/tex] + 16
therefore the factor is
( 3[tex]x[/tex] ) ( [tex]x^{2}[/tex] + 8[tex]x[/tex] + 16 )
