Factoring and Prime Factorization Concepts

The video tutorial explains how to factor a trinomial by identifying and using the greatest common factor (GCF). It begins with determining the prime factorization of each term in the trinomial, then identifies the GCF by circling common factors. The GCF is used to factor the trinomial, and the process is verified by multiplying the factors to ensure the original trinomial is obtained.

What is the first step in factoring a trinomial?

• Identify the greatest common factor

• Add all the terms

• Multiply all the terms

• Divide the terms by the smallest number

What is the prime factorization of 30?

• 2 * 3 * 5

• 3 * 3 * 5

• 3 * 5 * 7

• 2 * 5 * 7

Which of the following is a prime factor of 36?

• 2

• 6

• 8

• 4

What is the prime factorization of 12?

• 3 * 3 * 2

• 2 * 2 * 3

• 2 * 2 * 5

• 2 * 3 * 5

What is the greatest common factor of the terms 30x^3, 36x^2, and 12x?

• 24x

• 18x

• 12x

• 6x

What is left when 6x is factored out of 30x^3?

• 6x

• 5x

• 6x^2

• 5x^2

What is left when 6x is factored out of 36x^2?

• 5x

• 5

• 6x

• 6

What is left when 6x is factored out of 12x?

• 2

• 3

• 4

• 6

What is the factored form of the trinomial 30x^3 - 36x^2 + 12x?

• 6x(5x^2 - 6x - 2)

• 6x(5x^2 - 6x + 2)

• 6x(5x^2 + 6x - 2)

• 6x(5x^2 + 6x + 2)

How do you verify the factored form of a trinomial?

• Divide the factors to see if you get the original trinomial

• Subtract the factors to see if you get the original trinomial

• Multiply the factors to see if you get the original trinomial

• Add the factors to see if you get the original trinomial