Question

Which polynomials are prime? Check all that apply. 2x2+ 7x + 1 5x2 – 10x + 5 3x2 + 8 4x2 – 25 x2 + 36

Answer 1

The correct answer would be 2x2+ 7x + 1, 3x2 + 8 and x2 + 36. These polynomials cannot be reduced to a lower degree where the factors are integers so they should be prime. The factors are as follows:

2x2+ 7x + 1 -0.1492189406 and -3.350781059
5x2 – 10x + 5 1 and 1
3x2 + 8 1.632993162i and - 1.632993162i
4x2 – 25 5/2 and -5/2
x2 + 36 6i and -6i