Exploring Operations with Polynomials

What is the result of adding 3x² and 1x²?

• 2x²

• 5x²

• 4x²

• 3x²

When adding -3x and -4x, what is the result?

• -1x

• 7x

• -7x

• 1x

What is the first step in subtracting polynomials?

• Add exponents

• Combine like terms

• Multiply the terms

• Distribute the negative sign

What do you get when you subtract 3x² from 1x²?

• 1x²

• -2x²

• -1x²

• 2x²

What does distributing a monomial involve?

• Multiplying the monomial by each term inside the parentheses

• Subtracting like terms

• Dividing the monomial by each term inside the parentheses

• Adding like terms

When distributing 3x across (x² - 4x - 7), what is the coefficient of the x term?

• 12

• 21

• -21

• -12

What does FOIL stand for in polynomial multiplication?

• First, Outer, Inner, Last

• First, Outer, Inner, Least

• First, Outer, Inside, Least

• First, Outer, Inside, Last

What is the result of multiplying (3x - 4) by (x + 5) using the FOIL method?

• 3x² + 15x - 4x - 20

• 3x² + 11x - 20

• 3x² + 11x + 20

• 3x² - 11x - 20

How do you raise a binomial to the second power?

• Multiply the binomial by itself

• Add the binomial to itself

• Subtract the binomial from itself

• Divide the binomial by itself

What is the result of (x - 2)³?

• x³ - 6x² + 12x - 8

• x³ - 4x² + 8x - 8

• x³ - 4x² + 4x - 8

• x³ - 6x² + 8x - 8