How do you write a polynomial in standard form, then

Urdorfs4u

Urdorfs4u

Answered question

2022-02-05

How do you write a polynomial in standard form, then classify it by degree and number of terms 12x3+55x26x2+3x3+2x

Answer & Explanation

powrotnik5ld

powrotnik5ld

Beginner2022-02-06Added 12 answers

Explanation:
Let's combine like terms first (i.e. Anything with x3 can be combined, anything with x2 can be combined, etc.):
12x3+55x26x2+3x3+2x
(Resort the numbers into standard form, to make it easier to simplify)
12x3+3x35x26x2x+5+2
(Combine like terms)
15x311x2x+7
We now have our simplified polynomial. This can be classified as a 3rd degree polynomial
We classify by number of terms by finding how many individual terms there are.
15x3,11x2,x, amd 7 are all four of our terms, so we have a polynomial (Any polynomial with four or more terms is just called a polynomial.)
We classify by degree by finding the highest exponent on any of the terms. The exponent 3 is the highest term, so this polynomial is a 3rd degree polynomial.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?