Write as a Set of Linear Factors 4x^3+30x+8=34

$4 x^{3} + 30 x + 8 = 34$

Step 1

Subtract $34$ from both sides of the equation.

$4 x^{3} + 30 x + 8 - 34 = 0$

Step 2

Subtract $34$ from $8$ .

$4 x^{3} + 30 x - 26 = 0$

Step 3

Factor $2$ out of $4 x^{3} + 30 x - 26$ .

Factor $2$ out of $4 x^{3}$ .

$2 (2 x^{3}) + 30 x - 26 = 0$

Factor $2$ out of $30 x$ .

$2 (2 x^{3}) + 2 (15 x) - 26 = 0$

Factor $2$ out of $- 26$ .

$2 (2 x^{3}) + 2 (15 x) + 2 (- 13) = 0$

Factor $2$ out of $2 (2 x^{3}) + 2 (15 x)$ .

$2 (2 x^{3} + 15 x) + 2 (- 13) = 0$

Factor $2$ out of $2 (2 x^{3} + 15 x) + 2 (- 13)$ .

$2 (2 x^{3} + 15 x - 13) = 0$