Question

what a different types of algebrac expression write with defination​

Answer 1

$\mathfrak{\underline{\underline{\dag ᴀɴsᴡᴇʀ \dag}}}$

There are 3 main types of algebraic expressions which include:

• Monomial Expression
• Binomial Expression
• Polynomial Expression

-,- Monomial Expression

☛⇢An algebraic expression which is having only one term is known as a monomial.

⇢Examples of monomial expression include 3x4, 3xy, 3x, 8y, etc.

-,- Binomial Expression

☛⇢A binomial expression is an algebraic expression which is having two terms, which are unlike.

⇢Examples of binomial include 5xy + 8, xyz + x3, etc.

-,- Polynomial Expression

☛⇢In general, an expression with more than one terms with non-negative integral exponents of a variable is known as a polynomial.

⇢Examples of polynomial expression include ax + by + ca, x3 + 2x + 3, etc.

Answer 2

Monomial

An algebraic expression is said to be a monomial if it contains only one term. The following expression are all monomials.

• 4xy
• 12abc
• 8axby
• –7xyz
• 5a²b²

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Binomial

An algebraic expression is said to be a binomial if it contains two unlike terms. The following expressions are all binomials.

• ax + b
• 11a + 7b
• 9pq – r
• 14m² + 8

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Trinomial

An algebraic expression is said to be trinomial if it contains three ubloke terms. The following expressions are all trinomials.

• 2x + 3y + 4z
• 4ab + 7cd + 9
• 2p² + 5q² +r²

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Polynomial

In general an algebraic expression, which contains one or more terms with nonzero coefficients and variables having no negative integral exponents, i.e., power of the variable, is called a polynomial. The following expressions are polynomials.

• 2x + 3y + 4z + 9
• 6abc
• 5x² + 8y²z + 15

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More to know:—

Expression of the type

• 3x³ + 9 √x
• $3y²z\: + \: \frac{4y²}{z}\:+\:5$

are not algebraic expression as the variable power is rational or non-negative Integer.