I can't seem remember the rules for this.Can someone please help me with the following questions?

You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ...?

You can find the roots of a quadratic equation by determining the x-intercepts of the graph or the ...?

These are most definitely not rules.

one can find the roots by factoring, and setting to zero, or by graphing and examining the x intercepts, or by solving with the quadratic formula.

You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the x-intercepts of the graph. The term "roots" refers to the values of x for which the quadratic equation is equal to zero.

To determine the zeros of a quadratic function, you can set the function equal to zero and solve for x using factoring, the quadratic formula, or completing the square. This will give you the values of x at which the quadratic function has a y-value of zero.

On the other hand, to find the x-intercepts of the graph of a quadratic function, you can locate the points where the graph intersects or crosses the x-axis. The x-intercepts are the values of x for which the y-coordinate of the graph is zero.

Both methods will provide you with the roots of the quadratic equation, giving you the values of x at which the equation is equal to zero.