Answer
424.8k+ views
Hint: Algebraic expressions are combinations of variables, numbers, and algebraic operators (such as addition, subtraction, division, multiplication, etc.) for an arithmetic operation.
Complete step by step solution: An algebraic expression is a mathematical phrase that contains integral or fractional constants (numbers), variables (alphabets) and algebraic operators (such as addition, subtraction, division, multiplication, etc.) operating on them. Also, these expressions are expressed in the form of term, factor and coefficient. A coefficient is the numerical factor of a term containing constant and variables
Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. A term can be a number, a variable, product of two or more variables or product of a number and a variable.
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. The numbers or variables that are multiplied to form a term are called its factors.
Therefore, the expression \[2x - 3\] has three factors: \[2,\;x, - 3\] and two terms: \[2x,{\text{ }}3\]
Note: Coefficient: The numerical factor of a multiplication expression that contains a variable.
Constant: A number that cannot change its value. In the expression \[2x + 9\], the term \[9\] is a constant.
Like Terms: Terms that contain the same variables. If an expression has more than one constant term, those are also like terms.
Complete step by step solution: An algebraic expression is a mathematical phrase that contains integral or fractional constants (numbers), variables (alphabets) and algebraic operators (such as addition, subtraction, division, multiplication, etc.) operating on them. Also, these expressions are expressed in the form of term, factor and coefficient. A coefficient is the numerical factor of a term containing constant and variables
Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. A term can be a number, a variable, product of two or more variables or product of a number and a variable.
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. The numbers or variables that are multiplied to form a term are called its factors.
Therefore, the expression \[2x - 3\] has three factors: \[2,\;x, - 3\] and two terms: \[2x,{\text{ }}3\]
Note: Coefficient: The numerical factor of a multiplication expression that contains a variable.
Constant: A number that cannot change its value. In the expression \[2x + 9\], the term \[9\] is a constant.
Like Terms: Terms that contain the same variables. If an expression has more than one constant term, those are also like terms.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)