Find All Rational Zeroes of the Function Given and Use

Multiple Choice

Find all rational zeroes of the function given and use them to write the function in factored form. Use the factored form to state all zeroes of the function. Begin by applying the tests for 1 and -1. p(x) = 4x⁴ + x³ + 33x² +9x - 27

A) p(x) = (x - 1) (4x - 3) (x - 3i) (x + 3i) ; zeroes: 1, , 3i, -3i
B) p(x) = (x - 1) (4x + 3) (x - 3i) (x + 3i) ; zeroes: 1, - , 3i, -3i
C) p(x) = (x + 1) (4x - 3) (x - 3i) (x + 3i) ; zeroes: -1, , 3i, -3i
D) p(x) = (x + 1) (4x + 3) (x - 3i) (x + 3i) ; zeroes: -1, - , 3i, -3i