Algebra II (Intermediate Algebra) Season 1 Episode 9 Algebra II: Quadratic Equations - Factoring (Level 6 of 10) | Trinomials III

Algebra II (Intermediate Algebra) is an educational show focused on teaching students the fundamentals of Algebra II. In season 1 episode 9, titled Algebra II: Quadratic Equations - Factoring (Level 6 of 10) | Trinomials III, the focus is on factoring quadratic equations using the trinomial method.

The episode starts off with a review of the previous episode, where students learned to factor trinomials when the coefficient of the quadratic term is one. The teacher then introduces the concept of factoring trinomials when the coefficient of the quadratic term is not one. This is referred to as Level 6 of factoring trinomials.

Students are introduced to the FOIL method, which is used to expand a binomial into a trinomial. They learn how to apply this method in reverse to factor trinomials with a coefficient of 1 in the quadratic term. The teacher then shows students how to factor trinomials with a coefficient greater than 1 using the same method.

The teacher emphasizes the importance of checking their work by multiplying the factors and ensuring they get the original trinomial. Students are also encouraged to use the zero product property to solve quadratic equations after factoring.

Next, the episode focuses on identifying the difference of squares pattern in quadratic equations. This pattern can be used to factor quadratic equations with two terms. The teacher demonstrates how to recognize this pattern and apply it to solve quadratic equations.

Afterwards, the episode covers the perfect square trinomial pattern. This pattern is used to factor quadratic equations that can be written as the square of a binomial. Students learn how to recognize this pattern and apply it to solve quadratic equations.

The teacher then presents practice problems for students to solve independently. These problems include factoring trinomials, identifying the difference of squares pattern, and recognizing perfect square trinomials.

The episode concludes with a summary of the concepts covered, including factoring trinomials with a coefficient greater than one, identifying the difference of squares pattern, and recognizing perfect square trinomials. Students are reminded to practice these concepts regularly to improve their skills.

In conclusion, Algebra II (Intermediate Algebra) season 1 episode 9, titled Algebra II: Quadratic Equations - Factoring (Level 6 of 10) | Trinomials III, is an informative episode that teaches students how to factor quadratic equations using trinomial methods. The episode covers factoring trinomials with a coefficient greater than one, identifying the difference of squares pattern, and recognizing perfect square trinomials. Students are encouraged to practice these concepts regularly to improve their skills.