Ads
related to: understand algebraic expressions level f
Search results
Results From The WOW.Com Content Network
An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.
Algebraic closure: If F is a field, then ¯ is its algebraic closure, that is, the smallest algebraically closed field that contains F. For example, Q ¯ {\displaystyle {\overline {\mathbb {Q} }}} is the field of all algebraic numbers .
An algebraic expression is an expression built up from algebraic constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by a rational number). [41] For example, 3x 2 − 2xy + c is an algebraic expression.
When there is no algebraic expression for the roots, and when such an algebraic expression exists but is too complicated to be useful, the unique way of solving it is to compute numerical approximations of the solutions. [26] There are many methods for that; some are restricted to polynomials and others may apply to any continuous function.
Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States , [ 4 ] and builds on their understanding of arithmetic .
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .