Question

factor the following expression (method of common factor)​

Answer 1

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☘️ Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.

☘️ Each term of 10x + 5 has 5 as a factor, and 10x + 5 = 5(2x + 1). To factor an expression by removing common factors proceed as in example 1. 3x is the greatest common factor of all three terms. Next look for factors that are common to all terms, and search out the greatest of these.

✔️ 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.

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