We are given the following polynomials:
[tex]\begin{gathered} 2x-6 \\ 7x^2+6x+4 \end{gathered}[/tex]Now, we subtract the second polynomial from the first:
[tex]2x-6-(7x^2+6x+4)[/tex]Now, apply the distributive property on the parenthesis. To do that we change the sign of each of the terms inside:
[tex]2x-6-7x^2-6x-4[/tex]Now, we associate like terms.:
[tex](2x-6x)+(-6-4)-7x^2[/tex]Now, we solve the operations of the like terms:
[tex]-4x-10-7x^2[/tex]Since we can't simplify any further this is the final answer.