1.Find all rational zeros of the polynomial, and then find theirrational zeros, if any. Whenever appropriate, use the RationalZeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Ruleof Signs, the Quadratic Formula, or other factoring techniques.(Enter your answers as comma-separated lists. Enter all answersincluding repetitions. If an answer does not exist, enter DNE.)
P(x) = 12x4 − 11x3 − 18x2 +5x
| rational zeros    | x = |
2.
Find all rational zeros of the polynomial. (Enter your answersas a comma-separated list. Enter all answers includingrepetitions.)
P(x) = 6x4 − 7x3 − 13x2 + 4x +4
x =
3.
Two polynomials P and D are given. Use eithersynthetic or long division to divide P(x) by D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x).
P(x) = 4x3 + 9x + 9,    D(x) = 2x+ 1
P(x) =
4.
P(x) = 12x4 − 11x3 − 18x2 +5x
| rational zeros    | x = |
