# How do you write 1/2x-3x^4+7 in standard form and what is the leading coefficients?

Standard form: $- 3 {x}^{4} + \frac{1}{2} x + 7$
Leading coefficient: $- 3$
Standard form of polynomials is basically just writing the terms in order of decreasing power. In standard form, this polynomial is just $- 3 {x}^{4} + \frac{1}{2} x + 7$. The leading coefficient is just the coefficient of the first term (-3x^4). So, the leading coefficient is $- 3$.