Dividing and Simplifying Expressions

The video tutorial covers the process of dividing trinomials by binomials through factoring. It provides step-by-step examples of factoring different trinomials, simplifying them, and verifying the results. The tutorial concludes with practice problems for students to apply their learning.

What is the first step in dividing trinomials by binomials?

• Factor the trinomial

• Multiply the trinomial by the binomial

• Subtract the binomial from the trinomial

• Add the trinomial and binomial

What is the purpose of the AC method in factoring?

• To subtract the coefficients

• To add the coefficients

• To determine the product of the first and last coefficients

• To find the greatest common factor

When factoring x^2 + 4x + 3, what are the factors of the trinomial?

• (x + 3)(x + 3)

• (x + 1)(x + 3)

• (x + 1)(x + 2)

• (x + 2)(x + 2)

What is the final simplified form of (x^2 + 4x + 3) / (x + 3)?

• x + 1

• x

• x + 3

• x + 2

In the second example, what is the AC value for 3x^2 + 2x - 8?

• 24

• 8

• -24

• -8

What is the final simplified form of (3x^2 + 2x - 8) / (3x - 4)?

• x + 2

• x - 2

• x + 4

• x - 4

In the third example, what is the correct factorization of 2x^2 - 3x - 2?

• (2x - 2)(x + 1)

• (2x + 2)(x - 1)

• (2x - 1)(x + 2)

• (2x + 1)(x - 2)

What is the final simplified form of (2x^2 - 3x - 2) / (x - 2)?

• x - 2

• x + 2

• 2x - 1

• 2x + 1

How can you verify the correctness of your simplified expression?

• By multiplying the factors

• By subtracting the factors

• By dividing the original terms

• By adding the factors

What is the result of dividing 3x^2 by 3x?

• 1

• x^2

• x

• 3