Answer to Question #122179 in Algebra for Khomotso

Question

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

Answer 1

$2(5x +2y ) + 3x + 6y -10$

Terms is each part of an algebraic expression separated by a plus or minus sign.

 As $2(5x +2y ) , 3x , 6y$ and $10$ .

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

$3x$ has two factors $3$ and $x$ .

$6y$ has two factors $6$ and $y$ .

$-10$ has one factors

Coefficient is the numerical factor of a term that contains a variable. 

2(5x +2y ) the factor is $2$ .

$3x$ the factor is $3$ .

$6x$ the factor is $6$ .

$-10$ the factor is $-10$ .

Variable is a symbol, usually a letter, used to represent a number. 

As $x$ and $y$

Constant is a term without a variable. 

As $-10$ .