Algebra Examples

$f (x) = \frac{1}{2} x - x^{2} + 11 x^{4} + 2 x^{3}$

Step 1

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

$f (x) = a x^{2} + b x + c$

Step 2

Combine $\frac{1}{2}$ and $x$ .

$f (x) = \frac{x}{2} - x^{2} + 11 x^{4} + 2 x^{3}$

Step 3

Reorder.

Tap for more steps...

Step 3.1

Move $\frac{x}{2}$ .

$f (x) = - x^{2} + 11 x^{4} + 2 x^{3} + \frac{x}{2}$

Step 3.2

Move $- x^{2}$ .

$f (x) = 11 x^{4} + 2 x^{3} - x^{2} + \frac{x}{2}$

Step 4

Reorder terms.

$f (x) = 11 x^{4} + 2 x^{3} - x^{2} + \frac{1}{2} x$