Algebraic Expressions

What is a polynomial?

• A polynomial is an algebraic expression that can have any number of terms, such as @@2x^3 + 3x^2 - x + 5@@.

• A polynomial is a type of function that only includes trigonometric terms.

• A polynomial is a constant value that does not change with variables.

• A polynomial is an equation that can only have one term.

What are like terms in algebraic expressions?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are always positive

• Terms that can be added together regardless of their variables

What is the difference between a term and a factor?

• A term is a single mathematical expression, while a factor is a number or variable that multiplies with others to form a term.

• A term is always a number, while a factor can be a variable or a number.

• A term is a collection of factors, while a factor is a single component of a term.

• A term can only be a variable, while a factor can be a number or a variable.

How do you combine like terms?

• Add or subtract their coefficients while keeping the variable part the same. For example, @@3x + 5x = 8x@@.

• Multiply the coefficients and add the variables together.

• Only add the coefficients if the variables are the same.

• Combine the terms by changing the variables to a common base.

What is a monomial?

• A polynomial with multiple terms

• An algebraic expression that contains only one term, such as @@5x@@ or @@3xy^2@@

• A constant value without any variables

• An expression that includes addition and subtraction of terms

What is the coefficient in an algebraic expression?

• A coefficient is a numerical factor in a term of an algebraic expression.

• A coefficient is the variable part of an algebraic expression.

• A coefficient is the sum of all terms in an algebraic expression.

• A coefficient is the exponent of a variable in an algebraic expression.

What is a variable in algebra?

• A symbol that represents a constant value in an expression.

• A symbol, usually a letter, that represents an unknown value in an expression or equation.

• A number that can change depending on the situation.

• A fixed value that does not change.

What is the distributive property?

• The distributive property states that @@a(b + c) = ab + ac@@, meaning you can distribute a factor across terms in parentheses.

• The distributive property states that @@a + b = ab@@, meaning you can add two numbers together.

• The distributive property states that @@a(b - c) = ab - ac@@, meaning you can distribute a factor across terms in parentheses.

• The distributive property states that @@a(b + c) = a + b + c@@, meaning you can add all terms together.

What is a binomial?

• An algebraic expression that contains exactly two terms, such as @@x + 2@@ or @@3a - 4b@@.

• A polynomial with three terms, like @@x^2 + 2x + 1@@.

• A single term algebraic expression, such as @@5x@@.

• An expression that contains variables raised to a power, like @@x^3 + 2@@.

What is the degree of a polynomial?

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

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

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

• The degree is always equal to 1.