Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial,

Question

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.

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Thanh Thu 5 years 2021-08-17T07:37:42+00:00 2 Answers 33 views 0

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  1. bonexptip
    0
    2021-08-17T07:39:10+00:00
    Reply

    Answer:

    The question is incomplete. Here is the complete question.

    Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.

    1.

    2.

    3.

    4.

    5.

    6.

    Answer and Step-by-step explanation: The definition of a polynomial is “poly” meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.

    However, there are exceptions:

    Polynomial don’t have negative exponent;

    Polynomial cannot be divided by a variable;

    Variable cannot be inside a radical;

    The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.

    Polynomials have 3 different types:

    monomial: only has one term;

    binomial: has 2 terms;

    trinomial: has 3 terms;

    Now, analyzing each expression given by the alternatives above:

    1. It is a polynomial of degree 3 and trinomial.

    2. It is a polynomial of degree 2 and trinomial.

    3. Yes, it’s a polynomial of degree 2 and monomial.

    4. It is not a polynomial because it is divided by a variable.

    5. A polynomial of degree 5 and it’s a binomial.

    6. It is not a polynomial due to the exponent being negative.

  2. Bo
    0
    2021-08-17T07:39:38+00:00
    Reply

    The question is incomplete. Here is teh complete question.

    Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.

    1. 7ab+6b^{2}-2a^{3}

    2. 2y-5+3y^{2}

    3. 3x^{2}

    4. \frac{4m}{3p}

    5. 5m^{2}p^{3}+6

    6. 5q^{-4}+6q

    Answer and Step-by-step explanation: The definition of polynomial is “poly” meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.

    However, there are exceptions:

    • Polynomial don’t have negative exponent;
    • Polynomial cannot be divided by a variable;
    • Variable cannot be inside a radical;

    The degree of a polynomial is the highest exponent of that variable. For example for polynomial 3x^5+6x-5x^{2} , the degree is 5.

    Polynomials have 3 different types:

    • monomial: only has one term;
    • binomial: has 2 terms;
    • trinomial: has 3 terms;

    Now, analysing each expression given by the alternatives above:

    1. It is a polynomial of degree 3 and trinomial.

    2. It is a polynomial of degree 2 and trinomial.

    3. Yes, its a polynomial of degree 2 and monomial.

    4. It is not a polynomial because it is divided by a variable.

    5. A polynomial of degree 5 and it’s a binomial.

    6. It is not a polynomial due to the exponent being negative.

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