Write each polynomial in standard form. Then classify it by degree and number of terms.
-2x^3+6-x^3+5x

Question

Write each polynomial in standard form. Then classify it by degree and number of terms.
-2x^3+6-x^3+5x

anonymous · Answer

First combine like terms, we get -2x^3 + 6 + 5x. Now we need to order these by degree... So order the polynomial like this: -2x^3 + 5x + 6. In order of highest degree first, it's now in standard form. There are 3 terms, so it's a trinomial. The highest degree is x^3, so it's a cubic trinomial.

anonymous · Answer

I'm sorry I made a mistake, if you combine like terms it actually becomes -3x^3 + 5x + 6. It's still a cubic trinomial, though.

anonymous · Answer

Thank you so much! :)

anonymous · Answer

Do you think you can help me with one more? @howdomath

anonymous · Answer

Yep!

anonymous · Answer

3(x-1)(x+4) ^ With the same requirements of the one above. :)

anonymous · Answer

First expand it out to get:
(3x - 3)(x + 4) Now you can expand it further to get..
3x^2 + 9x - 12 This is ordered by highest degree so it's in standard form. The highest term, you'll notice, is x^2, so this is a quadratic. There are 3 different terms, so it's a quadratic trinomial.