Exploring Polynomial Operations in Algebra 2

This video tutorial covers the basics of polynomial operations, including addition, subtraction, and multiplication. It explains how to combine like terms, distribute terms in multiplication, and recognize special product patterns such as conjugates and binomials. The tutorial also provides practice problems to reinforce the concepts taught.

What is the result of adding 2x^3 and 3x^3?

• 5x^3

• 6x^3

• 5x^2

• 6x^2

When combining like terms, what is the result of 7x - 3x?

• 4x

• 10x

• 3x

• 7x

What must you be careful of when subtracting polynomials?

• Multiplying coefficients

• Distributing the negative sign

• Combining like terms

• Adding exponents

What is the result of subtracting 5x^3 from 7x^3?

• 2x^3

• 12x^3

• 3x^3

• x^3

When multiplying polynomials horizontally, what is the first step?

• Combining like terms

• Distributing each term

• Adding coefficients

• Subtracting exponents

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

• 2x^2

• x^2

• x

• x^3

What is the result of squaring the binomial (y + 4)?

• y^2 + 4

• y^2 + 16

• y^2 + 8y + 16

• y^2 + 4y + 16

What is the middle term when squaring a binomial (a + b)^2?

• ab

• a^2

• b^2

• 2ab

What is the result of cubing the binomial (x + 1)?

• x^3 + 3x^2 + x + 1

• x^3 + 3x + 1

• x^3 + 3x^2 + 3x + 1

• x^3 + x^2 + x + 1

What is the pattern for the coefficients when cubing a binomial (a + b)^3?

• 1, 3, 2, 1

• 1, 3, 3, 1

• 1, 2, 2, 1

• 1, 2, 3, 1