To solve this problem, we first have to simplify the given polynomial by combining like terms.
We are given 6x² – 7x².
These are similar terms because they both contain x². To combine them, we subtract the coefficients (the numbers in front of the x²).
Doing this, we get -1x².
We know that to find the other factor of the equation -x², we can imagine there's an equation a * b = -x². We need to solve for 'a' with the information that 'b' is -x².
If we substitute -x² for 'b', we get the equation a * -x² = -x².
To solve this equation for 'a', we need to get rid of '-x²' from one side. We can do this by dividing both sides by '-x²'.
Doing so, we get a = -x² / -x² = 1.
Therefore, the other factor of the polynomial 6x² – 7x² is 1.