SOLUTION: Can someone please help with this. i am so lost. Thank You 1.Explain the difference between a constant and a variable. (ii) Explain the difference between a constant term and a

Question 189698: Can someone please help with this. i am so lost. Thank You
1.Explain the difference between a constant and a variable. (ii) Explain the difference between a constant term and a coefficient. (iii) Explain the difference between a term and a factor. Use examples to support your explanations.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let's look at your entire question from the point of view of one example:

Example:

The parts of the example:

are all terms

Terms are composed of factors

The factors of the

term are a and

which is just

which has factors x and x.

The factors of the

term are b and

, which is simply x.

The factors of the

term are c and

which is equal to 1 no matter what the value of x is.

a, b, and c are also called coefficients. In the example, a is called the lead or high-order coefficient, b is the first degree or linear coefficient, and c is the constant coefficient.

c is also the constant term, whereas

is the 2nd degree or high-order term, and

is the 1st degree term.

So, if you had:

You could also write this as:

Now:

The four terms are:

The factors of the high-order (3rd degree) term are 3 and

and the coefficient is 3

The factors of the 2nd degree term are -2 and

and the coefficient is -2

The factors of the 1st degree term are 0 and

and the coefficient is 0

The factors of the constant term are 15 and

and the coefficient and the constant are 15.

In all of this x is a variable, specifically the independent variable. That means you put in values for x and let y happen. As you might expect, y is the dependent variable because the value of y is dependent upon the value of x.

John

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