Question

Choose the words or phrases that best complete the sentences.

A fifth degree polynomial ( must or could) have 5 linear factors. The factors( must or could, but do not have to be) be distinct.

Answer 1

@ganeshie8

Answer 2

@Directrix

Answer 3

@zepdrix

Answer 4

could you take a screenshot and attach

Answer 5

Here you go @ganeshie8

Answer 6

@dan815

Answer 7

I think it is refering to the fundamental theorem of algebra

Answer 8

A fifth degree polynomial can have at the most five linear factors.
The factors mayn't be distinct

Answer 9

am'i right

Answer 10

Depends if real or complex numbers are used. If real numbers are used, the fifth degree polynomial can have at most 5 linear factors and maybe less. If complex numbers are used, fifth degree polynomial can be factor into 5 linear terms but the roots may be complex. In fact, using the complex numbers, any polynomial of degree n and be factored into n linear terms. This is the fundamental theorem of algebra.