Algebra Examples

$\frac{6 x^{2} - 9 x^{3} + 3}{3}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Cancel the common factor of $6 x^{2} - 9 x^{3} + 3$ and $3$ .

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Step 2.1

Factor $3$ out of $6 x^{2}$ .

$\frac{3 (2 x^{2}) - 9 x^{3} + 3}{3}$

Step 2.2

Factor $3$ out of $- 9 x^{3}$ .

$\frac{3 (2 x^{2}) + 3 (- 3 x^{3}) + 3}{3}$

Step 2.3

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

$\frac{3 (2 x^{2} - 3 x^{3}) + 3}{3}$

Step 2.4

Factor $3$ out of $3$ .

$\frac{3 (2 x^{2} - 3 x^{3}) + 3 \cdot 1}{3}$

Step 2.5

Factor $3$ out of $3 (2 x^{2} - 3 x^{3}) + 3 (1)$ .

$\frac{3 (2 x^{2} - 3 x^{3} + 1)}{3}$

Step 2.6

Cancel the common factors.

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Step 2.6.1

Factor $3$ out of $3$ .

$\frac{3 (2 x^{2} - 3 x^{3} + 1)}{3 (1)}$

Step 2.6.2

Cancel the common factor.

$\frac{3 (2 x^{2} - 3 x^{3} + 1)}{3 \cdot 1}$

Step 2.6.3

Rewrite the expression.

$\frac{2 x^{2} - 3 x^{3} + 1}{1}$

Step 2.6.4

Divide $2 x^{2} - 3 x^{3} + 1$ by $1$ .

$2 x^{2} - 3 x^{3} + 1$

Step 3

Reorder $2 x^{2}$ and $- 3 x^{3}$ .

$- 3 x^{3} + 2 x^{2} + 1$