Adding and Subtracting Polynomials Explained

What marks the beginning of complexity in algebra involving polynomials?

• Addition and subtraction of polynomials

• Understanding the degree of polynomials

• Factoring polynomials

• Learning the standard form of polynomials

What is a monomial?

• A polynomial with two terms

• A type of polynomial with only one term

• A polynomial with no variables

• An expression with a variable in the denominator

Which of the following is NOT considered a monomial?

• A variable raised to a whole number exponent

• A constant number

• An expression with a negative exponent

• A product of variables and numbers

What is the degree of a monomial?

• The sum of the exponents of the variables

• The product of the variables

• The sum of the coefficients

• The highest exponent in the polynomial

What makes a zero degree monomial?

• A negative exponent

• A variable raised to the power of zero

• Any constant number

• A variable in the denominator

Why is an expression with a variable in the denominator not considered a monomial?

• Because it has more than one term

• Because it cannot be simplified

• Because it represents a division, not a product

• Because it has a negative exponent

What defines the degree of a polynomial?

• The sum of the degrees of all monomials

• The degree of the term with the greatest degree

• The total number of terms in the polynomial

• The degree of the term with the lowest degree

What is the leading coefficient of a polynomial?

• The coefficient of the term with the lowest degree

• The sum of all coefficients in the polynomial

• The product of the coefficients of all terms

• The coefficient of the term with the highest degree

How is the standard form of a polynomial organized?

• Randomly

• From highest to lowest degree

• From lowest to highest degree

• Alphabetically by variable

Which expression is a polynomial?

• xy

• x/y

• x - y

• x^(-1)