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# What does the factor x of the first term of the expression represent?

Updated: 9/24/2023

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Q: What does the factor x of the first term of the expression represent?
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### How do you factor out the GCF of an expression if the first term is negative?

i have to finish my algebra 1 homework and i have no idea what the answer is.... help!

### How do you common factor an expression?

Find a number that evenly divides each term of the expression.

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### Differences of a term and a factor?

In a function, a term is something that appears as part of the expression. A factor is something that goes into the expression WITHOUT REMAINDER. So if you consider y = x2 + 2x + 1 then 2x is a term in the expression, and, since y = (x + 1)2 = (x + 1)*(x + 1) then (x + 1) is a factor. A term need not be a factor and a factor need not appear as a term - as illustrated by this example. In the context of integers, a term would be similar to one of the digits [think of a decimal polynomial], whereas a factor would be a factor in the normal sense.

### What is the number or constant factor in a variable term in an expression?

This is known as a coefficient.

### How do you factor a 4-term expression that doesn't have a common factor?

If it does not have a common factor, you cannot factorise it!

### What are the rules in finding the special product?

Multiply the first term of the first factor to the first term of the second factor

### What is each factor in a term called?

Make note that a term doesn't have to be a number. It can be the expression, like (3x - 6). In order to consider a term of the factorization of the term to be the factor, it must be prime. Therefore, we call each factor in a term "prime factor". Here is the example: 2x + 6 has a factor of 2. Then, we can factor out 2x + 6 to get 2(x + 3)

### What are the special product?

multiply the first factor to the first term of the second factor

### When factorising find the common factor?

To find the common factor when factorising, look for any common factors that can be divided evenly from all the terms in the expression. Divide each term by this common factor, and then factorise the resulting expression further if possible. This will help simplify the expression and make it easier to work with.

### What are the finding special products?

multiply the first factor to the first term of the second factor