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Answer :
To classify the expression [tex]\(7x^6\)[/tex], we need to identify how many terms it contains and then use that information to determine its classification.
1. Understanding Terms in Algebra: In algebra, a term is a part of an expression that can include numbers, variables, or both, combined through multiplication or division. Terms in an expression are usually separated by addition or subtraction signs.
2. Examining the Expression [tex]\(7x^6\)[/tex]:
- Here, [tex]\(7x^6\)[/tex] is a single term. It consists of the coefficient 7 and the variable [tex]\(x\)[/tex] raised to the 6th power.
- Since there's only one term in [tex]\(7x^6\)[/tex], we look at the classification for such expressions.
3. Classification:
- An expression with one term is known as a monomial.
- Expressions with two terms are called binomials.
- Expressions with three terms are known as trinomials.
- Any expression with four or more terms is generally referred to as a polynomial, although technically, monomials, binomials, and trinomials are also types of polynomials.
Given that [tex]\(7x^6\)[/tex] has only one term, we classify it as a monomial.
1. Understanding Terms in Algebra: In algebra, a term is a part of an expression that can include numbers, variables, or both, combined through multiplication or division. Terms in an expression are usually separated by addition or subtraction signs.
2. Examining the Expression [tex]\(7x^6\)[/tex]:
- Here, [tex]\(7x^6\)[/tex] is a single term. It consists of the coefficient 7 and the variable [tex]\(x\)[/tex] raised to the 6th power.
- Since there's only one term in [tex]\(7x^6\)[/tex], we look at the classification for such expressions.
3. Classification:
- An expression with one term is known as a monomial.
- Expressions with two terms are called binomials.
- Expressions with three terms are known as trinomials.
- Any expression with four or more terms is generally referred to as a polynomial, although technically, monomials, binomials, and trinomials are also types of polynomials.
Given that [tex]\(7x^6\)[/tex] has only one term, we classify it as a monomial.
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