Question

Write the coefficient and constant term each of the following expressions: 3+a²-5b²​

Answer 1

★ Answer :

$\purple{Coefficient \: of \: a \: term}$ - a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

3 + a² -5b² has 3 terms -> 3, a² , -5b² .

coefficient of a² = 1

coefficient of -5b² = -5

$\purple{Constant \: term}$ - A constant term is a term in an algebraic expression that has a value that is constant or cannot change.

therefore, constant term = 3

★ Add to your knowledge :

$\purple{Degree \: of \: a \: polynomial}$ - the degree of a polynomial is the highest of the degrees present in a term of the polynomial .

Ex -

4a³ + a + a²

3 is the highest degree and is present in term 4a³ .

therefore , degree of 4a³ + a + a² is equal to 3.

Answer 2

Step-by-step explanation:

- a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

3 + a² -5b² has 3 terms -> 3, a² , -5b² .

coefficient of a² = 1

coefficient of -5b² = -5

- A constant term is a term in an algebraic expression that has a value that is constant or cannot change.

therefore, constant term = 3

★ Add to your knowledge :

- the degree of a polynomial is the highest of the degrees present in a term of the polynomial .

Ex -

4a³ + a + a²

3 is the highest degree and is present in term 4a³ .

therefore , degree of 4a³ + a + a² is equal to 3.