Algebraic Expression: A combination of terms obtained by the operations of "+" or "-" or both is called an algebraic expression.
Examples: (i) 5x+6y (ii) 3a-7b.
Monomial:
- An expression containing only one term is called a monomial.
Example: 7, x, 7x, -6x, ab, etc.
- A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents.
- monomial is a single term which has no plus sign (+) or minus sign (-).
- Not a monomial: 8 + x, 2/n, 5x, a-1, Öx, -3x-3, x2.5
Binomial: An expression containing two terms is called a binomial.
Examples: 7x+5, 6y-p, etc.
Trinomial: An expression containing three terms is called a trinomial.
Examples: 2x+3y-4z, 1/2-m/3+4n, etc.
Multinomial (or Polynomial): An expression containing more than three terms is called a multinomial or a polynomial.
7x+8y+9z-4, 9ab+6c+3d-25, etc.
Directions: Observe the following expressions and tell whether each of them is a monomial, binomial, trinomial, or multinomial. Also write at least 5 examples of each type.
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