SOLUTION: 9x^2 + 2x^5+ 8x-3 answer: 2x^5: 5 need a full break down of why the answer is 2x^5:5

Question 170920: 9x^2 + 2x^5+ 8x-3
answer: 2x^5: 5

need a full break down of why the answer is 2x^5:5

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Your instructions are not very clear. In fact, I don't see any instructions.

However, I'm assuming that you want to find the leading term and the degree of the polynomial correct?

First, we need to sort the terms of in descending exponential order. In other words, start with the term that has the largest exponent (which is ) and move onto , , etc

So the sorted polynomial is

Since the leading term is the first term on the left, this means that the leading term is .

Also, recall that the degree of a polynomial is simply the exponent of the leading term (ie it is the largest exponent).

Since the exponent of the leading term is 5, the degree is 5.
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