Polynomial Operations: Mastering Addition, Subtraction, Multiplication, and Division

Which of the following is NOT one of the four basic polynomial operations?

• Exponentiation

• Subtraction

• Addition

• Multiplication

When adding polynomials, what must be true about the terms you are combining?

• They must have the same coefficients.

• They must have the same variables and exponents.

• They must be constants.

• They must be in descending order.

What is the result of combining 5x and -4x?

• 9x

• 1x

• x

• 0

How should polynomials ideally be written?

• In descending order of exponents

• In ascending order of exponents

• In any order

• In alphabetical order of variables

What is the multiplication law of exponents?

• Divide the exponents if the bases are different.

• Subtract the exponents if the bases are the same.

• Add the exponents if the bases are the same.

• Multiply the exponents if the bases are different.

What is the result of multiplying 5x^2 by 3x^3?

• 15x^5

• 15x^6

• 8x^5

• 8x^6

What is the division law of exponents?

• Divide the exponents if the bases are different.

• Subtract the exponents if the bases are the same.

• Add the exponents if the bases are the same.

• Multiply the exponents if the bases are different.

What is the result of dividing 20x^4 by 5x?

• 15x^5

• 15x^3

• 4x^5

• 4x^3

What should you be careful about when using the division law of exponents?

• The bases must be different.

• The coefficient must be zero.

• The exponent must be imaginary.

• The exponent of the denominator is not zero but one.

What is the quotient of 20x^4 divided by 5x?

• 5x^2

• 5x^3

• 4x^2

• 4x^3