Factoring Trinomials and Related Concepts

The video tutorial explains how to factor a trinomial with three terms: an x squared term, an x term, and a constant. The method works when the coefficient of the x squared term is 1. The process involves creating two parentheses, placing an x on the left side of each, and finding two numbers that multiply to the constant and add to the x term coefficient. The example used is factoring x^2 + 5x + 6, where the numbers 2 and 3 are identified as suitable. These numbers are placed in the parentheses to complete the factorization.

What are the components of a typical trinomial?

• Two terms and a constant

• Four terms with different variables

• Three terms: a squared term, a linear term, and a constant

• A single term with a variable

Why is this method of factoring considered easier?

• Because it involves fewer steps

• Because the constant in front of the x squared term is 1

• Because it doesn't require any calculations

• Because it can be done mentally

What is the first step in factoring a trinomial?

• Finding the greatest common factor

• Solving for X

• Setting up two parentheses

• Dividing by the constant term

Why do we place an X on the left side of each parenthesis?

• To represent the constant term

• Because the first term is an x squared term

• To simplify the equation

• To ensure the equation is balanced

What must the two numbers do in relation to the constant term?

• Subtract to give the constant term

• Multiply to give the constant term

• Divide to give the constant term

• Add to give the constant term

Which of the following pairs multiply to give a positive 6?

• 1 and 5

• 2 and 3

• 3 and 4

• 5 and 6

What is the sum of the numbers 2 and 3?

• 5

• 4

• 7

• 6

Which pair of numbers both multiply to 6 and add to 5?

• 4 and 2

• 1 and 6

• 2 and 3

• 3 and 3

What is the final step in factoring the trinomial?

• Placing the correct numbers inside the parentheses

• Subtracting the numbers inside the parentheses

• Adding the numbers inside the parentheses

• Multiplying the numbers inside the parentheses

What is the result of factoring the trinomial x^2 + 5x + 6?

• (x + 1)(x + 6)

• (x + 2)(x + 3)

• (x + 3)(x + 4)

• (x + 2)(x + 4)