The video tutorial explains how to factor a trinomial by first identifying the greatest common factor (GCF) and then using the box method to factor the expression. The instructor demonstrates how to find two numbers that multiply to the product of the first and last coefficients and add to the middle coefficient. The tutorial also covers recognizing perfect squares and using grouping to simplify the factoring process, ultimately leading to the final factored form.

What is the first step in factoring a trinomial?

• Find the greatest common factor

• Identify the perfect square

• Use the box method

• Apply the quadratic formula

Which method is used to factor quadratic trinomials in the second section?

• Grouping method

• Synthetic division

• Diamond method

• Box method

In the box method, what do you multiply to find the product for factoring?

• a and b

• b and c

• a and b squared

• a and c

What is the purpose of the diamond method in factoring?

• To find the GCF

• To rewrite the middle terms

• To identify perfect squares

• To solve the equation

What is a key observation made about the terms in the third section?

• They are all odd numbers

• They form a geometric sequence

• They are prime numbers

• They are perfect squares

What is the final factored form of the trinomial?

• 6n(3n + 10)

• 6(3n + 10)^2

• 3n(6n + 10)

• (3n + 10)^2

Why are brackets used in the final expression?

• To avoid confusion with parentheses

• To highlight the GCF

• To indicate multiplication

• To simplify the expression