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sergij07 [2.7K]
4 years ago
5

Which polynomial is prime?

Mathematics
2 answers:
snow_lady [41]4 years ago
6 0

Answer:

None

Step-by-step explanation:

Prime polynomial : It is defined as that polynomial which can not be factorized into polynomial of lower degree , also with integer coefficient .

1.3x^3+3x^2-2x-2

3x^2(x+1)-2(x+1)

(x+1)(3x^2-2)

(x+1)(\sqrt 3x+\sqrt2)(\sqrt3x-\sqrt2)

It is not prime polynomial because it can be factorized into polynomial of lower degree.

2.3x^3-2x^2+3x-4

(x-1)(3x^2+x+4)

It is not a prime polynomial because it can be factorized into polynomial of lower degree.

3.4x^3+2x^2+6x+3

2x^2(2x+1)+3(2x+1)

(2x+1)(2x^2+3)

It is not prime polynomial because it can be factorized into polynomial of lower degree.

4.4x^3+4x^2-3x-3

4x^2(x+1)-3(x+1)

(x+1)(4x^2-3)

It is not a prime polynomial because it can be factorized into polynomial of lower degree.

Answer:None

Lunna [17]4 years ago
5 0

Answer:

4x3+2x2+6x+3 is the prime polynomial

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