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Solving second-degree polynomials. By second-degree, we mean that the highest power is a two. Its also true that there are usually two solutions. Heres a second-degree polynomial. Watch out for this. If theres only an x squared term and theres no other terms with variables, then just get that by itself and take the square root. So Im going to add five to both sides. I have 3x squared left and 21 on that side. These are gone. Divide by 3 on both sides to get x squared by itself. So x squared is 7. When we take the square root to get x squared by itself, remember this is plus or minus the square root of 7. And I cant simplify that. These are my two solutions: X is square root of 7 or negative square root of 7. This ones different. Now, in addition to x squared, we also have an X term. You cannot get x squared by itself and take the square root because youll be stuck with an X on the other side of the equation. And, you cant add or subtract these terms together because theyre n
