There are two parts to this problem we need to acknowledge.
First, we need to multiply using the distributive property, or FOIL.
-2x(6x^4 - 7x^2 + x - 5)
Multiply -2x by each term.
-12x^5 + 14x^3 - 2x^2 + 10x
Now, fortunately, the expression is already in standard form.
Standard form of a polynomial is where the term of the largest degree is listed first, and as the polynomial continues from left to right, the degree decreases per term.
The highest degree is 5, and the expression is already listed in standard form as the degrees go: 5, 3, 2, 1.
