Category : 7th Class
ALGEBRAIC EXPRESSIONS
ALGEBRAIC EXPRESSION
\[2x\] |
Expression |
\[2x+y\] |
Binomial |
\[2x=14\] |
Equation |
e.g., \[-5x+6\]is an algebraic expression.
Various types of algebraic expression:
(a) Monomial: An algebraic expression which contains only one term, is called as monomial.
Thus, \[2x,\] \[3y,\] \[5xy,\] \[6a{{b}^{2}},\] \[-11\] etc. are called monomials.
(b) Binomial: An algebraic expression containing only two terms is called a binomial.
Thus, \[(2a+6b),\] \[(8-6x),\] \[({{x}^{2}}-6x{{y}^{2}}),\]etc., are all binomials.
(c) Trinomial: An algebraic expression containing only three terms is called a trinomial.
Thus, \[(a+2b+5c),\] \[(x+2y-3z),\] \[({{x}^{3}}+{{y}^{3}}+{{z}^{3}}),\]etc., are all trinomials.
(d) Polynomial: An expression containing two or more terms is called a polynomial.
\[7x+2y+8x+3{{x}^{2}}+5{{x}^{2}}+6{{y}^{2}}\]\[=(7+8)x+2y+(3+5){{x}^{2}}+6{{y}^{2}}\]
e.g., \[7{{x}^{2}}-8{{x}^{2}}=(7-8){{x}^{2}}=-{{x}^{2}},\] \[8y-6y-2y=(8-6-2)y=0y=0\]
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