QuestionIs $-b^{3} c$ a polynomial? If yes, identify its type and degree.

Studdy Solution

STEP 1

Assumptions1. The expression given is $-b^{3} c$ . . We need to determine if this expression is a polynomial or not.
3. If it is a polynomial, we need to state the type and degree of the polynomial.

STEP 2

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

STEP 3

The given expression $-b^{3} c$ involves only multiplication and a non-negative integer exponent of a variable. Therefore, it satisfies the definition of a polynomial.

STEP 4

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 5

In the given expression $-b^{3} c$ , the highest power of the variable is3. Therefore, the degree of the polynomial is3.

STEP 6

The type of a polynomial is determined by the number of terms it has. A polynomial with one term is called a monomial, with two terms is called a binomial, and with three terms is called a trinomial.

STEP 7

The given expression $-b^{3} c$ has only one term. Therefore, it is a monomial.
The given expression $-b^{3} c$ is a polynomial. It is a monomial of degree3.

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QuestionIs $-b^{3} c$ a polynomial? If yes, identify its type and degree.

Studdy Solution

STEP 1

Assumptions1. The expression given is $-b^{3} c$ . . We need to determine if this expression is a polynomial or not.
3. If it is a polynomial, we need to state the type and degree of the polynomial.

STEP 2

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

STEP 3

The given expression $-b^{3} c$ involves only multiplication and a non-negative integer exponent of a variable. Therefore, it satisfies the definition of a polynomial.

STEP 4

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 5

In the given expression $-b^{3} c$ , the highest power of the variable is3. Therefore, the degree of the polynomial is3.

STEP 6

The type of a polynomial is determined by the number of terms it has. A polynomial with one term is called a monomial, with two terms is called a binomial, and with three terms is called a trinomial.

STEP 7

The given expression $-b^{3} c$ has only one term. Therefore, it is a monomial.
The given expression $-b^{3} c$ is a polynomial. It is a monomial of degree3.

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QuestionIs −b3c-b^{3} c−b3c a polynomial? If yes, identify its type and degree.

Studdy Solution

STEP 1

Assumptions1. The expression given is −b3c-b^{3} c−b3c. . We need to determine if this expression is a polynomial or not.3. If it is a polynomial, we need to state the type and degree of the polynomial.

STEP 2

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

STEP 3

The given expression −b3c-b^{3} c−b3c involves only multiplication and a non-negative integer exponent of a variable. Therefore, it satisfies the definition of a polynomial.

STEP 4

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 5

In the given expression −b3c-b^{3} c−b3c, the highest power of the variable is3. Therefore, the degree of the polynomial is3.

STEP 6

The type of a polynomial is determined by the number of terms it has. A polynomial with one term is called a monomial, with two terms is called a binomial, and with three terms is called a trinomial.

STEP 7

The given expression −b3c-b^{3} c−b3c has only one term. Therefore, it is a monomial.The given expression −b3c-b^{3} c−b3c is a polynomial. It is a monomial of degree3.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionIs $-b^{3} c$ a polynomial? If yes, identify its type and degree.

Assumptions1. The expression given is $-b^{3} c$ . . We need to determine if this expression is a polynomial or not.
3. If it is a polynomial, we need to state the type and degree of the polynomial.

The given expression $-b^{3} c$ involves only multiplication and a non-negative integer exponent of a variable. Therefore, it satisfies the definition of a polynomial.

In the given expression $-b^{3} c$ , the highest power of the variable is3. Therefore, the degree of the polynomial is3.

The given expression $-b^{3} c$ has only one term. Therefore, it is a monomial.
The given expression $-b^{3} c$ is a polynomial. It is a monomial of degree3.