Why is it useful to factor out the GCF first when factoring?

2 answers:

7 0

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.

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.

KATRIN_1 [288]4 years ago

4 0

Factor by grouping: 6x2 + 3x + 20x + 10.

This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

3x(2x + 1) + 10(2x + 1)

These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:

(3x + 10)(2x + 1)

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Elden [556K]

The answer is $1071.43.

EXPLANATION

First, you need to know that with regards to this problem, loan and interest sums at $450,000 ($100,000+$340,000).

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3 years ago

Which ordered pair

rusak2 [61]

Answer:

B) (-6,5)

Step-by-step explanation:

Quadrant I: (+,+)

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