Answer to Question #127360 in Algebra for Eric

Question

Using the algebraic expression 2(5x + 2y) + 3x + 6y - 10, identify and explain the following : term, factor, variable, constant, and coefficient?

Answer 1

$2(5x+2y)+3x+6y−10$

$\text{Terms is each part of an algebraic expression separated by a plus or minus sign.}$

$\text{Terms\,are\, 2(5x+2y),3x,6y and 10}$

$\text{ Factor is a product of two or more numbers, algebraic variables or algebraic expressions .}$ $\text{2(5x +2y ) has two factors 2 and (5x+2y) .}$

$\text{3x has two factors 3 and x,}$

$\text{6y has two factors 6 and y,}$

$\text{-10 has one factors.}$

The $\text{coefficient is the numerical factor of a term that contains a variable.\,For}$

$\text{2(5x +2y ) the factor is 2 .}$

$\text{For\,3x the factor is 3 .}$

$\text{For \,6x the factor is 6 }$

$\text{For \,−10 the factor is \, -10.}$

$\text{ Variable is a symbol, usually a letter, used to represent a number.}$

$\text{Variables\,are\, x and y.}$

$\text{Constant is a term without a variable}$

$\text{The constant is \,-10}.$