Factoring Trinomials and the Axer Diamond Method

The video tutorial explains how to factor a trinomial into its component factors. It begins with an introduction to factoring, focusing on cases where the leading coefficient is one. The instructor demonstrates factoring with negative coefficients by extracting a negative one from the terms. The Diamond Method is introduced to find two numbers that multiply to the constant term and add to the linear coefficient. The process of identifying factor pairs is detailed, and the tutorial concludes with finalizing the factored form of the trinomial.

What is the process of writing a trinomial as a product of its factors called?

• Adding

• Factoring

• Multiplying

• Dividing

When factoring a trinomial with a negative leading coefficient, what is the first step?

• Factor out a negative one

• Add 1 to all terms

• Divide by two

• Multiply by zero

What is the purpose of factoring out a negative one from the trinomial?

• To simplify the expression

• To change the sign of the leading coefficient

• To eliminate the constant term

• To make the trinomial positive

What property is used to verify the factorization of a trinomial?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

What is the result of applying the distributive property to the factored expression?

• A new trinomial

• A constant

• The original trinomial

• A binomial

What method is introduced for factoring trinomials?

• FOIL Method

• Axer Diamond Method

• Grid Method

• Box Method

What is the first step in the axer Diamond method?

• Find two numbers that add to A

• Find two numbers that multiply to C

• Find two numbers that add to B

• Find two numbers that multiply to B

What is the purpose of the axer Diamond method?

• To solve the equation

• To simplify the expression

• To factor the trinomial

• To find the roots of the equation

In the axer Diamond method, what do you need to find two numbers that do?

• Multiply to give B and add to give C

• Multiply to give C and add to give B

• Multiply to give A and add to give B

• Multiply to give A and add to give C

Why must one of the factors be negative when multiplying to get -20?

• To ensure the product is negative

• To ensure the product is positive

• To ensure the sum is positive

• To ensure the sum is zero