why would someone want to factor a polynomial? provide real-world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Step-by-step explanation:

Factoring a polynomial is one important way to find the roots (or x-intercepts) of the polynomial.  It's not always the easiest method, particularly when the roots are mixed numbers.

If you take calculus later, you'll see that finding the derivative of a function, setting this derivative = to 0 and solving for the roots is one way in which we can identify the x-value(s) at which we have either a maximum or a minimum.

it's both, now can you answer my most recent question?

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)