Factoring Trinomials: Key Concepts and Techniques

This video tutorial covers the process of factoring trinomials using tools like the generic rectangle and diamond problem. It includes four examples, demonstrating different scenarios: a basic trinomial, a trinomial with different terms, a special case of difference of squares, and identifying prime trinomials. The tutorial emphasizes understanding the process and applying it to various types of trinomials.

What are the components needed to start factoring a trinomial?

• Generic rectangle and diamond problem

• None of the above

• A, B, and C values

• Both A and B

What is the purpose of the generic rectangle in factoring trinomials?

• To identify A, B, and C values

• To solve the diamond problem

• To visualize the factoring process

• To calculate the discriminant

How do you determine the factors for the diamond problem?

• Find factors of A

• Find factors of C that sum up to B

• Multiply A and C

• None of the above

What is the correct factored form of a trinomial with A=1, B=-14, and C=45?

• v - 9 * v - 5

• v + 9 * v + 5

• v - 5 * v - 9

• v + 5 * v + 9

In the second example, what are the A, B, and C values?

• A=3, B=-2, C=-5

• A=-5, B=-2, C=3

• A=3, B=-5, C=-2

• A=-2, B=3, C=-5

What is the factored form for the second example?

• h + 5 * 3h - 1

• h - 5 * 3h + 1

• 3h + 5 * h - 1

• 3h - 5 * h + 1

What special case is presented in the third example?

• Perfect square trinomial

• Prime trinomial

• Sum of squares

• Difference of squares

What is the factored form of the third example?

• y - 2 * y + 2

• 3y + 2 * 3y - 2

• 3y - 2 * 3y + 2

• y + 2 * y - 2

What indicates a trinomial cannot be factored using the diamond problem?

• When no factors of A*C sum to B

• When C is zero

• When B is zero

• When A is zero

What does it mean if a trinomial is prime?

• It is a perfect square

• It cannot be factored using the diamond problem

• It can be factored into two binomials

• It has only one variable