Write in Standard Form f(x)=x^4-8x^2+x/2+4x^3+1/2

$f (x) = x^{4} - 8 x^{2} + \frac{x}{2} + 4 x^{3} + \frac{1}{2}$

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

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

$f (x) = x^{4} - 8 x^{2} + 4 x^{3} + \frac{x}{2} + \frac{1}{2}$

Step 3

Move $- 8 x^{2}$ .

$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + \frac{x}{2} + \frac{1}{2}$

Step 4

Reorder terms.

$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + \frac{1}{2} x + \frac{1}{2}$