# What is the leading coefficient

1
by sairavender

2014-12-09T18:35:41+08:00

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Example:
3x-x^2+8
Question: What is the leading term?
Let's analyze first the terms. The terms are:
3x
-x^2
8
To find the leading term, you base it on the term that has the highest degree, to find the degree, you base it on the exponent or you can also say, the number of variables in that term.
3x=(1 variable=x) degree=1
-x^2=[2 variables= x and x(there are two x's because it was x squared]degree=2
8=(it is a constant, there are no variables obviously, so the degree is 0)degree=0
Now we can conclude that the term -x^2 has the highest degree followed by the terms 3x an 8 respectively. Since x^2 has the highest degree, it is the leading term and should go first. So, it is arranged in ascending degrees like this.
-x^2+3x+8