So I'm in Algebra 2, and right now we're learning about conic sections (circles/ellipse/etc). I thought some problems in the workbook looked weird, like this one:
$\y^2 = x^2 + 16
By my understanding, I should be able to take the square root of the "y", "x", and "16", leaving me with "y = x + 4," since I'm taking the square root of each term ("distributing"?), but my teacher said I have to solve the polynomial first.
Back in Algebra 1, I was also confused when we started factoring & canceling polynomials, because the teacher never explained when we could/couldn't cancel terms.
Could I have some clarification on how polynomials are defined? [And also when to use the principal root?]
EDIT: Thanks for the answers guys. Sorry if I wasn't specific in my question (I'm not exactly good at expressing my thoughts). I understood that the two were different (linear/hyperbolic). The question in the book was
y^2 - x^2 = 16. When I moved "x^2" to the other side, I assumed that it's not directly attatched to "16." In a generic situation, what indicates a polynomial (parentheses)?