Answer :
The leading coefficient of a polynomial is the coefficient of the term with the highest power(or degree).
In our case,
The polynomial is
[tex]2x^2+x^3-7x+1[/tex]Therefore, the degree of the polynomial is 3.
And the term with the highest power is
[tex]x^3[/tex]and its coefficient is 1.
Hence, the leading coefficient is 1