Factoring Trinomials and GCF

The video tutorial explains how to factor trinomials completely in a multiple-choice scenario. It emphasizes identifying the greatest common factor (GCF) and using Desmos to verify results. The tutorial provides an example of factoring and highlights the importance of checking for errors using graph comparisons in Desmos.

What is the first step in factoring a trinomial completely?

• Identify the Greatest Common Factor (GCF)

• Subtract the constants

• Add the terms

• Multiply the coefficients

Why is it important to identify the GCF when factoring trinomials?

• To simplify the trinomial

• To make the trinomial larger

• To eliminate the trinomial

• To change the trinomial into a binomial

What tool is recommended for verifying the GCF in the video?

• Graph paper

• Calculator

• Desmos

• Ruler

Tags

CCSS.HSA-REI.B.4B

After factoring out the GCF, what should you do next?

• Add the GCF back

• Divide the trinomial by 2

• Determine the new coefficients a, b, and c

• Multiply the terms

What is the purpose of the 'snowflake' method mentioned in the video?

• To decorate the trinomial

• To add more terms

• To subtract terms

• To organize the factoring process

How can you verify if your factored trinomial is correct?

• By multiplying the terms

• By subtracting the terms

• By checking if the graphs are identical in Desmos

• By adding the terms together

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What indicates an error in your factored trinomial when using Desmos?

• The graphs are different

• The trinomial is smaller

• The graphs are identical

• The trinomial is larger

What should you do if the graphs of your original and factored trinomials differ in Desmos?

• Subtract terms

• Recheck your calculations for errors

• Multiply the terms

• Add more terms