Question

Which polynomial is factored completely?

Answer 1

Answer:

the polynomial has the degree 1 can factorised completely

Answer 2

Answer:

All the polynomial of degree n which can be expressed as a product of linear expression is called a polynomial and is factored completely.

Step-by-step explanation:

Any polynomial of diploma n may be factored into n linear binomials. Since linear binomials can not be factored, it might stand to purpose that a “absolutely factored” polynomial has been factored into binomials, that is as a long way as you could go.

However, there can be different notions of “absolutely factored”. In fundamental algebra classes, it's far not unusual to place best to address polynomials that have real, rational, or integer coefficients. If you can’t component it and in addition without getting bizarre coefficients, then it is probably applicable to mention it's far “absolutely factored” withinside the experience of “I can’t component it and, the use of the strategies withinside the lesson”.

For example:

• Is  x^2+1  completely factored? in addition, Maybe. But if we’re willing to entertain non-real numbers, it can be factored into  (x+i)(x−i).

• Is  x^2−x−1  completely factored? yes, because Your algebra teacher might accept that, even though it can be factored into  (x− 1+√5/2)(x− 1−√5/2)

• Is  x^5+x+1  completely factored? yes, because It can be factored into  (x−a1)(x−a2)(x−a3)(x−a4)(x−a5), where the values of the constants cannot even be expressed using elementary functions.

So, the answer is going to depend on what purpose you have in mind for the factors, or what requirements your exercises demand of the solution.

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