Diamond Method in Factoring Trinomials

The video tutorial introduces the concept of factoring trinomials using the diamond method. It begins with an explanation of the standard form of a quadratic equation, which is essential for understanding the diamond method. The tutorial then guides viewers through the steps of applying the diamond method, focusing on identifying factors that multiply to give the constant term (C) and add to give the linear coefficient (B). The instructor emphasizes the importance of choosing the correct factors and demonstrates how to write the trinomial as a product of its factors.

What is the primary goal of the diamond method in factoring trinomials?

• To find two numbers that multiply to A and add to B

• To find two numbers that multiply to C and add to B

• To find two numbers that multiply to B and add to C

• To find two numbers that multiply to A and add to C

What is the standard form of a quadratic equation?

• ax^2 + by + c

• y^2 + bx + c

• ay^2 + by + c

• ay^2 + bx + c

In the diamond method, what shape is used to organize the factors?

• Triangle

• Circle

• Square

• Diamond

What is the first step in the diamond method?

• Identify the factors of A

• Identify the factors of B

• Identify the factors of D

• Identify the factors of C

What do the top and bottom of the diamond represent in the diamond method?

• Top is C, bottom is B

• Top is B, bottom is C

• Top is A, bottom is B

• Top is A, bottom is C

What is the purpose of the dot in the diamond method?

• To represent addition

• To represent subtraction

• To represent multiplication

• To represent division

What is the purpose of the plus sign in the diamond method?

• To represent division

• To represent addition

• To represent subtraction

• To represent multiplication

When listing factor pairs, what must be considered about their signs?

• Both must be zero

• Both must be negative

• One must be positive and one must be negative

• Both must be positive

Which factor pair is chosen in the diamond method?

• The pair that adds to C

• The pair that multiplies to A

• The pair that adds to A

• The pair that multiplies to C and adds to B

What is the significance of the number -7 in the diamond method?

• It is the quotient of the factors

• It is the product of the factors

• It is the sum of the factors

• It is the difference of the factors