Write in Standard Form h(x)=5/3x^2- square root of 7x^4+8x^3-1/2+x

$h (x) = \frac{5}{3} x^{2} - \sqrt{7} x^{4} + 8 x^{3} - \frac{1}{2} + x$

Step 1

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

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

Step 2

Combine $\frac{5}{3}$ and $x^{2}$ .

$h (x) = \frac{5 x^{2}}{3} - \sqrt{7} x^{4} + 8 x^{3} - \frac{1}{2} + x$

Step 3

Reorder.

Move $- \frac{1}{2}$ .

$h (x) = \frac{5 x^{2}}{3} - \sqrt{7} x^{4} + 8 x^{3} + x - \frac{1}{2}$

Move $\frac{5 x^{2}}{3}$ .

$h (x) = - \sqrt{7} x^{4} + 8 x^{3} + \frac{5 x^{2}}{3} + x - \frac{1}{2}$

Step 4

Reorder terms.

$h (x) = - \sqrt{7} x^{4} + 8 x^{3} + \frac{5}{3} x^{2} + x - \frac{1}{2}$