Your friend is taking an algebra class that began after ours.

Write your friend an email explaining a general strategy for factoring in a very organized way.

How would you like us to help you with this assignment?

http://www.purplemath.com/modules/factnumb.htm

how would you answer this?

I'd study the purplemath site, and then put that information in my own words.

I know YOU can do the same.

Subject: A Strategy for Factoring Algebraic Expressions

Dear [Friend's Name],

I hope this email finds you well. I heard that you recently started an algebra class and I wanted to share with you a general strategy for factoring algebraic expressions in a very organized way. Factoring can be a challenging topic, but with a systematic approach, it can become much easier.

Here is a step-by-step strategy to help you with factoring:

Step 1: Identify the greatest common factor (GCF)
Before attempting to factor the expression, look for the greatest common factor (GCF) of all the terms. The GCF is the largest number or variable that divides evenly into each term. By factoring out the GCF, you can simplify the expression.

Step 2: Differentiate between different factoring techniques
There are several factoring techniques, including factoring by grouping, difference of squares, trinomial factoring, and perfect square trinomial factoring. Each technique is used in specific situations, so it's crucial to identify the appropriate method to apply.

Step 3: Factoring by grouping
If you have a polynomial with four or more terms, you can use the factoring by grouping method. Group the terms into pairs, then factor out the GCF from each pair. Look for any common factors that can be factored out from the resulting binomials.

Step 4: Difference of squares
When you have a polynomial in the form of a^2 - b^2, you can use the difference of squares method. This can be factored into the product of two binomials: (a + b)(a - b).

Step 5: Trinomial factoring
For trinomials with a coefficient of 1 in front of the squared term, you can use trinomial factoring. Look for a pair of factors that multiply to give the constant term and have a sum equal to the coefficient of the linear term. This allows you to factor the trinomial into two binomials.

Step 6: Perfect square trinomial factoring
If you encounter a trinomial in the form of a^2 + 2ab + b^2 or a^2 - 2ab + b^2, you can use perfect square trinomial factoring. This can be factored as (a ± b)^2.

Step 7: Practice and repetition
Factoring is a skill that improves with practice. The more you practice factoring, the better you will become at recognizing patterns and applying the appropriate factoring techniques.

I hope this strategy helps you tackle factoring with confidence. Remember, the key to success in algebra is practice and perseverance. Don't hesitate to reach out if you have any further questions or need additional guidance.

Best regards,
[Your Name]