1. ## long/synthetic divsion

Use long or synthetic divison

(21x^3 - 7) / (3x-1)

2. Originally Posted by soly_sol
Use long or synthetic divison

(21x^3 - 7) / (3x-1)
Why not factor it first?

21x^3 - 7 = 7(3x^3-1)

Set it up. Don't forget to include zero placeholders for x^2 and x.

3. Thats the part that I get stuck on.

4. Hello, soly_sol!

Use long or synthetic divison: . $\frac{21x^3 - 7}{3x-1}$

. . . $\begin{array}{cccccc}
&&&7x^2&+\frac{7}{3}x&+\frac{7}{9}\\&&--&--&--&--\\3x-1&|&21x^3&&&-7\\&&21x^3&\text{-}7x^2\\&&--&--\\&&&7x^2\\&&&7x^2&\text{-}\frac{7}{3}x\\&&&--&--\\&&&&\frac{7}{3}x&-7\\\end{array}$

. - . - . - . . . . . . . . . . . $\begin{array}{ccc}\frac{7}{3}x&-\frac{7}{9}\\--&--\\&-\frac{56}{9}\end{array}$