Question

What are integral coefficients?

Answer 1

As a noun, it means the integral of a function. As an adjective, it means "in the form of an integer." For example, saying a polynomial has integral coefficients means the coefficients of the polynomial are all integers. See also.

Answer 2

An integral coefficient is a coefficient in an algebraic expression that is an integer.

• Integral coefficients show up in mathematical expressions and equations and their applications. Defining integral coefficients is simply a matter of being familiar with the definition of an integer and the definition of a coefficient.
• An integral coefficient is a coefficient in an algebraic expression that is an integer. In order to understand what that means, we must first be familiar with the terms coefficient and integer.
• Coefficient: A coefficient is a number that is in front of a variable that is multiplied by the variable in an algebraic expression. For example, in the algebraic expression 3x2, 3 is the coefficient of x2.
• Integer: The integers include all of the whole numbers along with their negatives. That is, the integers are the set {…, -3, -2, -1, 0, 1, 2, 3, …} where … indicates that the set continues on forever in both directions.
• Knowing the definitions of coefficient and integer, we can now define an integral coefficient. It is simply a coefficient that is an integer. For example, our coefficient 3 in 3x2 is an integral coefficient, because it is a coefficient and it is an integer.

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