Question

Explain the basics of chapter Algebraic expressions NCERT ?

Answer 1

What is algebraic expression

Algebraic expression is the expression having constants and variable. It can have multiple variable and multiple power of the variable

Example
11x
2y – 3
2x + y
2xy + 11z=1
x2 +2+x

Terms, Factors and Coefficients

Let’s explain this with an example

Example
11x + 1

Here are the Important points
1) This expression is made up of two terms, 11x and 1.
 2) Terms are added to form algebraic expressions.
3) Terms themselves can be formed as the product of factors. The term 11x is the product of its factors 11 and x. The term 1 is made up of just one factor, i.e., 1.
4) The numerical factor of a term is called its numerical coefficient or simply coefficient. The coefficient in the term 11x is 11 and the coefficient in the constant term  1 is 1.
 

Monomials, Binomials, trinomial and Polynomials

Monomials

Algebraic expression having one terms is called monomials

Example
11x2
6xy
–2z
10y
–9
82mnq

Binomials

Algebraic expression having two terms is called Binomials

Example
x + xy
2p + 11q
y + 1
11 –3xy

Trinomials

Algebraic expression having three terms is called Trinomials

Example
x + xy+1
2p + 11q+pq
y + 2+y2
11 –3xy+x

 

Polynomials

In general, an expression containing, one or more terms with non-zero coefficient (with variables having non negative exponents) is called a polynomial

Example
x + y + z + 1
3pq
11xyz – 10x
4x + 2y + z