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what is the factor of 3x³+24x²+48x solution plss ​

Sagot :

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 )