Polynomials
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
Chapter - 2
(Polynomials)
Key Concepts
Constants : A symbol having a fixed numerical value is called a constant.
Example : 7, 3, -2, 3/7, etc. are all constants.
Variables : A symbol which may be assigned different numerical values is known as variable. Example :
C - circumference of circle r - radius of circle
Where 2 &
are constants. while C and r are variable
Algebraic expressions : A combination of constants and variables. Connected by some or all of the operations +, -, X and
Example :
is known as algebraic expression.
etc.
Terms : The several parts of an algebraic expression separated by '+' or '-' operations are called the terms of the expression.
Example :
is an algebraic expression containing 5
terms
Polynomials : An algebraic expression in which the variables involved have only nonnegative integral powers is called a polynomial.
(i)
(ii)
is a polynomial in variable x. is an expression but not a polynomial.
Polynomials are denoted by
Coefficients : In the polynomial
, coefficient of
respectively and we also say that +1 is the constant term in it.
Degree of a polynomial in one variable : In case of a polynomial in one variable the highest power of the variable is called the degree of the polynomial.
Classification of polynomials on the basis of degree.
14
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
degree
Polynomial
Example
(a)
1
Linear
(b)
2
Quadratic
etc.
(c)
3
Cubic
etc.
(d)
4
Biquadratic
Classification of polynomials on the basis of no. of terms
No. of terms
Polynomial & Examples.
(i)
1
Monomial -
(ii)
2
Binomial -
(iii)
3
Trinomial-
etc. etc. etc.
Constant polynomial : A polynomial containing one term only, consisting a constant term is called a constant polynomial the degree of non-zero constant polynomial is zero.
Zero polynomial : A polynomial
Chapter - 2
(Polynomials)
Key Concepts
Constants : A symbol having a fixed numerical value is called a constant.
Example : 7, 3, -2, 3/7, etc. are all constants.
Variables : A symbol which may be assigned different numerical values is known as variable. Example :
C - circumference of circle r - radius of circle
Where 2 &
are constants. while C and r are variable
Algebraic expressions : A combination of constants and variables. Connected by some or all of the operations +, -, X and
Example :
is known as algebraic expression.
etc.
Terms : The several parts of an algebraic expression separated by '+' or '-' operations are called the terms of the expression.
Example :
is an algebraic expression containing 5
terms
Polynomials : An algebraic expression in which the variables involved have only nonnegative integral powers is called a polynomial.
(i)
(ii)
is a polynomial in variable x. is an expression but not a polynomial.
Polynomials are denoted by
Coefficients : In the polynomial
, coefficient of
respectively and we also say that +1 is the constant term in it.
Degree of a polynomial in one variable : In case of a polynomial in one variable the highest power of the variable is called the degree of the polynomial.
Classification of polynomials on the basis of degree.
14
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
degree
Polynomial
Example
(a)
1
Linear
(b)
2
Quadratic
etc.
(c)
3
Cubic
etc.
(d)
4
Biquadratic
Classification of polynomials on the basis of no. of terms
No. of terms
Polynomial & Examples.
(i)
1
Monomial -
(ii)
2
Binomial -
(iii)
3
Trinomial-
etc. etc. etc.
Constant polynomial : A polynomial containing one term only, consisting a constant term is called a constant polynomial the degree of non-zero constant polynomial is zero.
Zero polynomial : A polynomial