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Which polynomial is prime? A. 3x3 + 3x2 – 2x – 2 B. 3x3 – 2x2 + 3x – 4 C. 4x3 + 2x2 + 6x + 3 D. 4x3 + 4x2 – 3x – 3

Which polynomial is prime? A. 3x3 + 3x2 – 2x – 2 B. 3x3 – 2x2 + 3x – 4 C. 4x3 + 2x2 + 6x + 3 D. 4x3 + 4x2 – 3x – 3
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3 votes
Which polynomial is prime?

A. 3x3 + 3x2 – 2x – 2

B. 3x3 – 2x2 + 3x – 4

C. 4x3 + 2x2 + 6x + 3

D. 4x3 + 4x2 – 3x – 3

User Tuscland
by
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2 Answers

1 vote

Answer:

c. 4x3+2x2+6x+3

User Dave Turner
by
8.9k points
5 votes

3x^3 + 3x^2-2x-2=(x+1)(3x^2-2) \\ 3x^3-2x^2 + 3x-4=(x-1)(3x^2+x+4) \\ 4x^3 + 2x^2 + 6x + 3=(2x^2+3)(2x+1) \\ 4x^3 + 4x^2-3x-3=(4x^2-3)(x+1)
None of the polynomials is prime.
User Som Bhattacharyya
by
8.0k points
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