Find the Leading Coefficient 2x^6+2-4x^2+5x^7-4x

$2 x^{6} + 2 - 4 x^{2} + 5 x^{7} - 4 x$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $2$ .

$2 x^{6} - 4 x^{2} + 5 x^{7} - 4 x + 2$

Move $- 4 x^{2}$ .

$2 x^{6} + 5 x^{7} - 4 x^{2} - 4 x + 2$

Reorder $2 x^{6}$ and $5 x^{7}$ .

$5 x^{7} + 2 x^{6} - 4 x^{2} - 4 x + 2$

Step 2

The leading term in a polynomial is the term with the highest degree.

$5 x^{7}$

Step 3

The leading coefficient in a polynomial is the coefficient of the leading term.

$5$