Algebra II: Quadratic Equations - Factoring (Level 4 of 10)

The video tutorial focuses on solving quadratic equations of the form ax^2 + bx + c = 0, known as quadratic trinomials. It explains that not all quadratic trinomials are factorable, but those that are can be solved using factoring techniques. The video covers two types of quadratic trinomials: those where a = 1 and those where a > 1, with a focus on the former. It demonstrates the factoring process using the FOIL method and provides examples with both positive and negative coefficients, highlighting the importance of identifying factor pairs that sum to the linear coefficient and multiply to the constant term.

What is a quadratic trinomial?

• An equation with one term

• An equation with four terms

• An equation with three terms

• An equation with two terms

Which method is used to distribute terms when finding the product of linear factors?

• TOIL method

• MOIL method

• SOIL method

• FOIL method

In the equation x^2 + 12x + 20 = 0, which pair of factors is used to factor the trinomial?

• 1 and 20

• 2 and 10

• 4 and 5

• 3 and 7

What is the sum of the factors used to solve x^2 + 12x + 20 = 0?

• 21

• 12

• 9

• 15

When b is negative and c is positive, what type of factors should be used?

• Positive factors

• Negative factors

• Mixed factors

• Zero factors

In the equation y^2 - 6y + 9 = 0, what is the repeated root?

• y = 3

• y = -3

• y = 6

• y = -6

How can the expression y^2 - 6y + 9 be rewritten after factoring?

• (y - 3)(y + 3)

• (y + 3)(y - 3)

• (y - 3)^2

• (y + 3)^2