Posted: October 18th, 2022

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11 hours agoRe: Week 6 | Discussion – Methods of Factoring Trinomials of the Form ax² + bx + c

Hello everyone,

I decided to research about the grouping factoring method. I liked this method because it is super simple and easy. When factoring trinomials by grouping, we first split the middle term into two terms. We then rewrite the pairs of terms and take out the common factor.

The steps of factoring by grouping are:

- Step 1: Find the product
*ac.* *Step 2: Find two factors of the product that add up to b**Step 3: Write b as the sum of the two factors that you found.**Step 4: Group the two pairs of terms.**Step 5: Take out the common factors from each group*

Please see attached the template.

References

Khazanov, L., & Kirupaharan, N. (2010). What is the Best Way to Factor it? A Fresh Look at the Routine Problem of Factoring Quadratic Trinomials. *MathAMATYC Educator*, *2*(1), 16.

23 hours agoFactoring Trinomials

Factoring Method: Grouping

Description of Method:

When factoring trinomials by grouping, we first split the middle term into two terms. We then rewrite the pairs of terms and take out the common factor.

Trinomial:

5x^3-12x+6

Step 1: product of Ac

(5)(6) =30

Step 2: two factors of 30 that add up to 12

2 and 10

Step 3: 5x^3-2x– 10x+6

Step 4: Grouping

(5x^3-2x) – (10x+6)

Step 5: Get rid of factors

X(5x-2) -3(5x-2)

Step 6: Remove and combine (x-3)(5x-3)

I’m not sure if I did this assignment correct. I did this method a few times and I also looked up YouTube videos. I found the website that I attached down below to be helpful. This was tough for me Math is my weak attribute. I get discourage a lot feel overwhelmed because I don’t understand the concept. I tried my best to me knowledge to put this method together. I hope it make sense and that it is easy to follow.

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