Exploring Polynomial Operations

What are the main polynomial operations covered in this lesson?

• Addition, Subtraction, Multiplication

• Addition, Subtraction, Division

• Multiplication, Division, Subtraction

• Addition, Division, Multiplication

What must be true for terms to be considered 'like terms'?

• They must have the same coefficients.

• They must have the same variables and exponents.

• They must have the same constants.

• They must have the same degree.

In the expression 2x + 5 + 7x - 6, what is the result after combining like terms?

• 5x + 1

• 5x - 1

• 9x + 1

• 9x - 1

When subtracting polynomials, what must you remember to do with the negative sign?

• Distribute it to all terms in the second polynomial.

• Add it to the constant term.

• Ignore it.

• Only apply it to the first term.

What is the result of multiplying 4x^3 by -3x^5?

• 12x^15

• -12x^15

• 12x^8

• -12x^8

How do you multiply 2xy^3 by 6x^4y^2?

• 12x^7y^6

• 12x^5y^5

• 8x^7y^6

• 8x^5y^5

What property is used when multiplying a monomial by a binomial?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

What is the result of distributing -3x^2 to (2x^2 - 5x + 7)?

• -6x^4 + 15x^3 - 21x^2

• 6x^4 + 15x^3 - 21x^2

• 6x^4 - 15x^3 + 21x^2

• -6x^4 - 15x^3 + 21x^2

What does the acronym FOIL stand for?

• First, Outside, Inner, Last

• First, Outer, Inside, Last

• First, Outside, Inside, Last

• First, Outer, Inner, Last

Using the FOIL method, what is the result of (x - 5)(x + 1)?

• x^2 - 5x + 1

• x^2 - 4x + 5

• x^2 - 4x - 5

• x^2 - 5x - 1