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What are the leading coefficient, constant term and degree, if any, of the algebraic expression -7

2 Answers

4 votes

Answer:

leading coefficient: -7

constant term: -7

degree: 0

Explanation:

User FisNaN
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2 votes

Answer:

Please check the explanation.

Explanation:

We know that the degree of a certain polynomial will be the largest degree of any term.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.

We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial

will be 7.

We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial

will be 3.

Coming back to the question:

Given the expression

-7

  • As the expression has only 1 constant term i.e. -7 which does not involve any variable, hence the expression -7 has the degree zero.
  • As the expression does not involve any variable, so it does not have any leading coefficient.
  • As the expression contains only 1 term i.e. -7, and the term does not involve any variable. Thus, the expression has the constant term -7.
User Lisinge
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