Polynomials Introduction

What is the sum of the degrees of the terms in a polynomial?

• The sum of the degrees of the terms in a polynomial is equal to the degree of the polynomial.

• The sum of the degrees of the terms in a polynomial is not a standard concept; the degree of the polynomial is defined by the highest degree term.

• The sum of the degrees of the terms in a polynomial is always zero.

• The sum of the degrees of the terms in a polynomial is the total number of terms in the polynomial.

How do you identify the degree of a polynomial?

• Look for the term with the highest exponent.

• Count the number of terms in the polynomial.

• Identify the coefficient of the leading term.

• Find the average of the exponents.

What is the constant term in a polynomial?

• The term in a polynomial that contains the highest degree variable.

• The term in a polynomial that does not contain any variables.

• The term in a polynomial that is multiplied by a variable.

• The term in a polynomial that has a coefficient of zero.

What is the difference between a term and a polynomial?

• A term is a single mathematical expression, while a polynomial is a sum of multiple terms.

• A term can only be a number, while a polynomial can include variables.

• A term is always a constant, while a polynomial is always a variable.

• A term is a sum of multiple expressions, while a polynomial is a single expression.

What is the leading coefficient of a polynomial?

• The coefficient of the term with the highest degree in a polynomial.

• The constant term in a polynomial.

• The coefficient of the term with the lowest degree in a polynomial.

• The sum of all coefficients in a polynomial.

What is the difference between a polynomial and a rational expression?

• A polynomial can include variables in the denominator, while a rational expression consists of whole number exponents.

• A polynomial consists of whole number exponents, while a rational expression can include variables in the denominator and may have negative or fractional exponents.

• A polynomial is always a single term, while a rational expression can have multiple terms.

• A polynomial can have negative or fractional exponents, while a rational expression consists only of whole number exponents.

What is a polynomial?

• A mathematical expression that includes variables, coefficients, and negative exponents.

• A mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

• A type of equation that only includes constants and no variables.

• A mathematical expression that can only be a single term.

What is the degree of a polynomial?

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

• The degree of a polynomial is the number of terms in the expression.

• The degree of a polynomial is the sum of the coefficients of the terms.

• The degree of a polynomial is always a negative number.

What is a trinomial?

• A polynomial with exactly two terms.

• A polynomial with exactly three terms.

• A polynomial with no terms.

• A polynomial with four or more terms.

How do you add polynomials?

• Combine all terms without any changes.

• Multiply the coefficients of the terms.

• Combine like terms by adding their coefficients.

• Subtract the coefficients of the terms.