What are the possible rational zeros of f(x) = x4 + 2x3 – 3x2 – 4x – 12 ?

± 1, ± 2, ± 3, ± 4, ± 5, ± 6, ± 7, ± 8, ± 9, ± 10, ± 11, ± 12

1, 2, 3, 4, 6, 12

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

± 1, ± 2, ± 3, ± 4, ± 6, ± 12

Question

What are the possible rational zeros of f(x) = x4 + 2x3 – 3x2 – 4x – 12 ?

 ± 1, ± 2, ± 3, ± 4, ± 5, ± 6, ± 7, ± 8, ± 9, ± 10, ± 11, ± 12

 1, 2, 3, 4, 6, 12

 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

 ± 1, ± 2, ± 3, ± 4, ± 6, ± 12

mertsj · Answer

Factors of the constant term divided by the factors of the coefficient of the leading term.

mertsj · Answer

The constant term is -12
Leading term is x^4.  Its coefficient is 1
So factors of -12 divided by factors of 1