An algebraic number is one that is a root to a non-zero polynomial, in one variable, whose coefficients are rational numbers.
Equivalently, if the polynomial is multiplied by the LCM of the coefficients, the coefficients of the polynomial will all be integers.
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The term algebraic sum is used when the numbers you are adding include both positive an negative numbers. Ordinary sums are done with positive numbers only.
constant
The collection of letters representing numbers
Algebraic constants are numbers with no variable (7x+7x+8=14x+8. The constant would be 8)
A mathematical phrase that contains operations, numbers, or variables is called an algebraic expression. Algebraic expressions consist of constants (numbers), variables (letters representing unknown quantities), and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. These expressions can be simplified, evaluated, or manipulated using algebraic rules and properties.