Exploring Addition and Subtraction of Polynomials

What is a monomial?

• A variable raised to a negative exponent

• A product of two polynomials

• A sum of variables

• A number, variable, or product of the two

What is the degree of the monomial 5x^3?

• 3

• 1

• 0

• 5

How is a polynomial formed?

• By multiplying monomials

• By adding monomials

• By subtracting monomials

• By dividing monomials

What is the degree of the polynomial 2x^4 + 3x^2 + x + 7?

• 2

• 4

• 7

• 1

What is a binomial?

• A polynomial with four terms

• A polynomial with three terms

• A polynomial with two terms

• A polynomial with one term

When adding polynomials, what property allows you to rearrange the terms?

• Commutative property

• Distributive property

• Identity property

• Associative property

What is the result of adding 3x^2 + 2x + 1 and 4x^2 - x + 5?

• 7x^2 - x + 6

• 7x^2 + x + 5

• 7x^2 + x + 4

• 7x^2 + x + 6

What must you do when subtracting polynomials?

• Distribute the negative sign to each term in the second polynomial

• Add the polynomials directly

• Multiply the polynomials

• Divide the polynomials

What is the result of subtracting (5x^2 + 3x - 2) from (7x^2 - x + 4)?

• 2x^2 + 4x + 6

• 2x^2 - 4x + 6

• 2x^2 - 4x + 2

• 2x^2 + 4x + 2

What is the standard form of a polynomial?

• Terms arranged in decreasing order of their degrees

• Terms arranged alphabetically

• Terms arranged in increasing order of their degrees

• Terms arranged in random order