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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