Question

Factor:
5/3x^6+4/3x^5+1/3x^4+1/3x^3

Answer 1

\[\frac{ 5 }{ 3 }x^6 + \frac{ 4 }{ 3 }x^5 + \frac{ 1 }{ 3 }x^4 +\frac{ 1 }{ 3 } x^3\]

Answer 2

Do you notice anything we can factor?

Answer 3

\[\frac{ 1 }{ 3}x^3\]

Answer 4

Good, now factor it out and show me what you get.

Answer 5

that where i get stuck ( i suck at fractions) i don't know how to divide 5/3 by 1/3

Answer 6

Here, maybe doing it this way will help:
\[[(5*\frac{ 1 }{ 3 }x^6)+(4*\frac{ 1 }{ 3 }x^5)+\frac{ 1 }{ 3 }x^4+\frac{ 1 }{ 3 }x^3]\]

Answer 7

im still confused, sorry! where did the 5/3 and the 4/3 go?

Answer 8

I broke them down, doesn't 5*(1/3)=5/3?

Answer 9

yes

Answer 10

So work backwards to have common factors

Answer 11

so 1/3x^3(5x^3+4x^2+x+1)

Answer 12

Correct