Question

What factoring technique that I can use to come up with the factors of each polynomial? Explain.

Answer 1

The following factoring methods will be used in this lesson:

Factoring out the GCF.

The sum-product pattern.

The grouping method.

The perfect square trinomial pattern.

The difference of squares pattern.

Answer 2

Answer:

Six methods can be used:

• Greatest Common Factor (GCF)
• Grouping Method
• Sum or difference in two cubes
• Difference in two squares method
• General trinomials
• Trinomial method

Explanation:

There are six methods for factorizing polynomials. The six methods are as follows:

1. Greatest Common Factor (GCF): The greatest common factor of the polynomial is to be found to factorize it.
2. Grouping Method: This method is also known as factoring by pairs. The polynomial is distributed in pairs or grouped in pairs to find the zeros.
3. Sum or difference in two cubes: The cubes of the polynomial are found and then added and subtracted as per the question.
4. Difference in two squares method: Squares of the polynomial are found, and the difference between them is found.
5. General trinomials
6. Trinomial method