How do you write a polynomial in standard form, then classify it by degree and number of terms $9z^2 - 11z^2 + 5z - 5$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $9z^2 - 11z^2 + 5z - 5$ ?

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Answer 1 · 2016-03-15T00:15:17

First, we see that there are two terms that are $z^2$ , so we can combine these.

$9z^2 - 11z^2 = -2z^2$

So now we have $-2z^2 + 5z - 5$

This is our standard form.
The degree is the highest exponent in our polynomial, which is $2$ .
The number of terms is the number of separate terms or values in our polynomial. This one has $3$ terms, so it is a trinomial.

Usually, 2nd degree would be quadratic, third degree cubic, 4th degree quartic, etc.

So overall, this polynomial is a quadratic trinomial.

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How do you write a polynomial in standard form, then classify it by degree and number of terms $9z^2 - 11z^2 + 5z - 5$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $9z^2 - 11z^2 + 5z - 5$ ?