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In algebra polynomials are the equations which can have any number of higher power. Quadratic equations are a type of Polynomials having 2 as the highest power.
That's what you learn in high school, in a first subject of algebra - things like evaluating expressions, converting them, solving equations, factoring polynomials, etc.
algebra identies
It depends on the edition, but typically, it would include, working with expressions that include variables - for example, adding, subtracting, multiplying, and dividing such expressions; fractions (also with expressions); writing equations (based on word problems) and solving those equations; factoring polynomials; graphing; perhaps some basic trigonometry. - High school algebra is all about working with variables.
because x was always 10