Exploring Polynomials: Addition and Subtraction Techniques

What is a monomial?

• A sum of variables.

• A product of a number and a variable with whole number exponents.

• A division of two variables.

• An exponent that is not a whole number.

Which of the following is NOT a monomial?

• -1.8m^5

• 5 + x

• 3x

• 12a^2

How do you find the degree of a monomial?

• By multiplying the exponents of the variables.

• By dividing the exponents of the variables.

• By adding the exponents of the variables.

• By subtracting the exponents of the variables.

What is the leading coefficient in a polynomial?

• The coefficient of the term with the highest degree.

• The coefficient of any term with a variable.

• The constant term without a variable.

• The coefficient of the term with the smallest exponent.

What is a binomial?

• A polynomial with one term.

• A polynomial with more than three terms.

• A polynomial with two terms.

• A polynomial with three terms.

What does the standard form of a polynomial entail?

• Writing terms from the largest to the smallest exponent.

• Grouping like terms together.

• Writing terms randomly.

• Writing terms from the smallest to the largest exponent.

Which of the following is a trinomial?

• 2x - 5

• x^2 + 2

• 3x^2 - 5x + 7

• 4x^2

How do you classify a polynomial with only one term?

• Monomial

• Trinomial

• Polynomial

• Binomial

What is the degree of a polynomial?

• The number of terms in the polynomial.

• The coefficient of the leading term.

• The highest exponent of the variable in the polynomial.

• The sum of all exponents in the polynomial.

How do you add and subtract polynomials?

• By multiplying like terms.

• By subtracting coefficients only.

• By dividing like terms.

• By combining like terms.