Question

Define algebraic exprition . write thet types of algebraic exprition based on number of terms
​

Answer 1

$\huge \huge\bold\color{blue}{\underbrace{\overbrace{\mathfrak{\color{red}{✍Answer ⭐}}}}}$

Algebraic Expression:-

An algebraic expression is mathematical term that consists of variables and constants along with mathematical operators or signs (subtraction, addition, multiplication, etc).

• Example = 12x - 8 , 3y + 5 etc.

___________________________________________________

Types of Algebraic expression:-

• Monomial :- 1 term
• Binomial :- 2 terms
• Trinomial :- 3 terms
• Polynomial :- Many terms

•••••••••••••••••••••••••••••••••••••••••••••••••••••••••••

Monomial:-

• Algebraic expression which has only one term is known as Monomial.
• Example :- 2x , 9y ,10 z etc.

Binomial:-

• Algebraic expression which has only two term is known as Binomial.
• Example :- 2x + 3y , 9y + 7 ,10z + 8u etc.

Trinomial:-

• Algebraic expression which has only three term is known as Trinomial.
• Example :- 2x + 3y - 9z , etc.

Polynomial:-

• Algebraic expression which has many term is known as Polynomial.
• Example :- 2x + 3y - 9z + 9h , etc.

__________________________________________

Mathematics knowledge:-

Algebraic Expression has many parts ,

• Example :12x - 8
• 12 is the coefficient of x.
• x is a variable. Its value unknown and can be anything.
• 8 is a constant with a fixed value.

Terms :-

Every part of an algebraic expression that is separated by a minus or plus sign is known as the term of the algebraic expression.

• Example :- 10x + 7
• In this 10x is one term and 7 is one term because they are dependent by mathematical sign.

$\color{brown}{ \mathtt{Important \: \: \: note:- }}$

Don't get confused in Algebraic expression and Algebraic equations.

• An Algebraic Equation has two sides (Left Hand Side or LHS and Right Hand Side or RHS) whereas an Algebraic Expressions does not.

• Algebraic Equation: 5x – 20 = 80 or (a + b)2 = a² + 2ab + b²

Now you know the difference between Algebraic Expressions and Algebraic Equations.

Answer 2

Types of algebraic expression.

There are four types of algebraic expression.

(1)Monomial

(2) Binomial

(3)Trinomial

(4) Polynomial

(1)Monomial

An algebraic expression consisting of any one term is called a monomial

for example

,3/4 p²,-y

and

2mn

are monomial.

(2) Binomial

An algebric expression class consisting of two terms is called a binomial

for example

,8x-7y,3m²-1/4a

and

x³-4

are monomial.

(3) Trinomial

An algebraic expression consisting of three terms is called a trinomials

for example

,7p²+2p-1/2,2-w+w³

and

3/2m²+mm-1/3

are trinomial

(4) Polynomial

An algebraic expression consisting of one or more terms is called a polynomial.

for example

,3x,2y+5,

7a+b+c,6p²+7p+p³/4-3,

x³+3/8x+x²-7/2

are polynomial.