To write the expression -10 - 1/7x^3 + 4x in standard form, we need to arrange the terms in decreasing order of their exponents.
The standard form of a polynomial is:
ax^n + bx^(n-1) + ... + kx^2 + lx + m
where a, b, ..., l, and m are constants, and n is the degree of the polynomial.
So let's start by simplifying -1/7x^3 + 4x:
-1/7x^3 + 4x = -1/7x^3 + 28/7x = (28/7 - 1/7x^3)x
Now we can write the expression in standard form:
-1/7x^3 + 4x - 10 = (-1/7)x^3 + 4x - 10
The degree of the polynomial is 3, and the leading coefficient is -1/7.