1 answer

How do you write a polynomial in standard form, then classify it by degree and number of terms #g^4 -

Question:

How do you write a polynomial in standard form, then classify it by degree and number of terms #g^4 - 2g^3 - g^5#?

Answers

The expression #-g^5+g^4-2g^3# is a 5th degree polynomial

Explanation:

The standard form of a polynomial means that the order of degree, with the highest degree going first, and then the next highest, and so on and so forth...

So, we go from #g^4-2g^3-g^5# to #-g^5+g^4-2g^3#

This is the standard form of the polynomial. Now let's classify it

Classification by term:
We are actually classifying the expression by the number of terms. So, there are more than 3 terms (#-g^5+g^4-2g^3+0g^2+0g#), which means we call it a polynomial

Classification by degree:
Once the expression is in standard form, we just look at the leading term, and the degree. So, the degree in this polynomial is #g^5#, so #color(red)(5)#.

The expression #-g^5+g^4-2g^3# is a 5th degree polynomial

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