What they're trying to ask for are the solutions to that equation.
Any value of x that causes the quadratic polynomial x^2 - 7x + 6 to evaluate to zero is called a root of the polynomial.
In other words, what are the numbers to substitute for x so that the polynomial equals 0 ?
Here's an example:
x^2 - 5x - 14
This quadratic polynomial has two different roots, and each one is a Real number.
The roots are -2 and 7.
In other words, x = -2 or x = 7 are the two solutions to the following equation.
x^2 - 5x - 14 = 0
The polynomial in your exercise is factorable. Set each factor equal to zero, and solve for x (see the "Zero Product Property" for more information on this method).
If you've learned how to use the Quadratic Formula, that's another way to find the roots of the polynomial.
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