How do you write a polynomial in standard form, then classify it by degree and number of terms #0.43x - 7x^4 - 0.76 + 3x^6 - 7x^3 + 4x^8 #?

1 Answer
Nov 17, 2017

#4x^8+3x^6-7x^4-7x^3+0.43x-0.76#

The greatest exponent is 8, so this is an 8th degree polynomial, and it has 6 terms.

Explanation:

A polynomial in standard form, it is written in descending order of exponents, ending with a constant (no variable or exponent).

Given:

#0.43x-7x^4-0.76+3x^6-7x^3+4x^8#

Rewrite in descending order of exponents.

#4x^8+3x^6-7x^4-7x^3+0.43x-0.76#

The greatest exponent is 8, so this is an 8th degree polynomial, and it has 6 terms.