Algebra 2 - Factoring a trinomial by first factoring out the gcf, 4p^2 + 4p - 24

The video tutorial explains the process of factoring algebraic expressions, starting with identifying the greatest common factor (GCF) and using it to simplify expressions. It then moves on to factoring trinomials by creating a visual aid, such as an 'X', to determine the factors that multiply to the last term and add to the middle term. The tutorial emphasizes the importance of checking work by verifying that the factored form multiplies back to the original expression. The video concludes with a practice example to reinforce the concepts learned.

What is the first step in factoring the expression 4P^2 + 4P - 24?

• Divide each term by 2

• Multiply all terms by 2

• Identify the greatest common factor (GCF)

• Add 5 to each term

After factoring out the GCF from 4P^2 + 4P - 24, what is the resulting expression?

• 4(P^2 + 2P - 12)

• 4(P^2 + P - 6)

• 4(P^2 + 3P - 8)

• 4(P^2 + 4P - 24)

Which method is used to further factor the trinomial P^2 + P - 6?

• The X method

• The Y method

• The Z method

• The W method

What are the two numbers that multiply to -6 and add to 1 in the trinomial P^2 + P - 6?

• 3 and -2

• 1 and -6

• 6 and -1

• 2 and -3

What is the final factorized form of the expression 4P^2 + 4P - 24?

• 4(P + 6)(P - 1)

• 4(P + 1)(P - 6)

• 4(P + 2)(P - 3)

• 4(P + 3)(P - 2)