Polynomials: Understanding and Operations

What is a monomial?

• A variable with a fractional exponent

• A difference of two terms

• A product of numbers and variables with whole number exponents

• A sum of variables

How is the degree of a monomial determined?

• By the number of terms

• By the sum of the exponents of the variables

• By the coefficient of the term

• By the number of variables

What defines a polynomial?

• A product of two monomials

• A monomial or a sum/difference of monomials

• A constant term

• A single variable

What is the leading coefficient in a polynomial?

• The coefficient of the term with the lowest degree

• The coefficient of the constant term

• The coefficient of the first term in standard form

• The sum of all coefficients

What is a trinomial?

• A polynomial with four terms

• A polynomial with three terms

• A polynomial with two terms

• A polynomial with one term

How do you add polynomials?

• By subtracting the terms

• By multiplying the coefficients

• By adding the exponents

• By combining like terms

What does it mean for polynomials to be closed under addition?

• The sum of two polynomials is always zero

• The sum of two polynomials is always a constant

• The sum of two polynomials is always a monomial

• The sum of two polynomials is always a polynomial

In the context of polynomials, what are like terms?

• Terms with the same coefficient

• Terms with the same variable raised to the same power

• Terms with different variables

• Terms with different exponents

What does the coefficient of a polynomial term represent in a real-world problem?

• The initial value

• The time elapsed

• The rate of change

• The total distance

In the example of the penny and paintbrush, what does the y-intercept represent?

• The time taken to reach the ground

• The speed of the penny

• The height of the paintbrush

• The initial distance between the objects