Question

A polynomial function *P* and its graph are given.

* P*(

(a) List all possible rational zeros of *P* given by the
Rational Zeros Theorem. (Enter your answers as a comma-separated
list.)

* x* =

(b) From the graph, determine which of the possible rational zeros
actually turn out to be zeros. (Enter your answers as a
comma-separated list. Enter all answers including
repetitions.)

* x* =

Answer #1

1. Find all rational zeros of the polynomial, and then find the
irrational zeros, if any. Whenever appropriate, use the Rational
Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule
of Signs, the Quadratic Formula, or other factoring techniques.
(Enter your answers as comma-separated lists. Enter all answers
including repetitions. If an answer does not exist, enter DNE.)
P(x) = 2x4 + 7x3 − 6x2 − 7x + 4 rational zeros x = irrational zeros
x =
2. A...

5.
All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x4 − 13x2 + 36
x =
Write the polynomial in factored form.
P(x) =
15.
All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x3 + 5x2 − x − 5
x =...

All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x3 + 7x2 − x − 7
x =
Write the polynomial in factored form.
P(x) =
16.
Find all rational zeros of the polynomial. (Enter your answers
as a comma-separated list. Enter all answers including
repetitions.)
P(x) = 24x3 + 10x2 − 13x − 6
x =
Write the polynomial in factored...

Find all solutions of the equation. (Enter all answers including
repetitions. Enter your answers as a comma-separated list.)
x4 + 5x3− 17x2− 15x
+ 42 = 0
Find all solutions of the equation. (Enter
all
answers including repetitions. Enter your
answers as a comma-separated list.)
6x5 + 43x4 + 37x3 − 30x2 = 0
Find all solutions of the equation. (Enter
all answers including repetitions. Enter your answers as a
comma-separated list.)
x3 − 8x2 − 19x − 10...

Find all rational zeros of the polynomial. (Enter your answers
as a comma-separated list. Enter all answers including
repetitions.)
P(x) = 8x^3 + 10x^2 − x − 3
write the polynomial in factored form.

A polynomial P is given.
P(x) = x4 − 16
(a) Find all zeros of P, real and complex. (Enter your
answers as a comma-separated list. Enter all answers including
repetitions.)
x =
(b) Factor P completely.
P(x) =

18. Find all rational zeros of the polynomial, and then find the
irrational zeros, if any. Whenever appropriate, use the Rational
Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule
of Signs, the Quadratic Formula, or other factoring techniques.
(Enter your answers as comma-separated lists. Enter all answers
including repetitions. If an answer does not exist, enter DNE.)
P(x) = 2x4 + 7x3 − 6x2 − 7x +
4
rational zeros
x =
irrational zeros
x =

A grain silo consists of a cylindrical main section and a
hemispherical roof. If the total volume of the silo (including the
part inside the roof section) is 11,000 ft3 and the
cylindrical part is 30 ft tall, what is the radius of the silo,
correct to the nearest tenth of a foot?
r = ft
The real solutions of the given equation are rational. List all
possible rational roots using the Rational Zeros Theorem. (Enter
your answers as a comma-separated...

15.
Find all the real zeros of the polynomial. Use the quadratic
formula if necessary, as in Example 3(a). (Enter your answers as a
comma-separated list. Enter all answers including repetitions.)
P(x) = x3 + 6x2 + 7x − 2
x =

1. Find all zeros of the polynomial. (Enter your answers as a
comma-separated list. Enter all answers including repetitions.)
P(x) = 12x4 + 12x3 + 15x2 + 12x
+ 3
2. A graphing calculator is recommended.A solar panel
manufacturer estimates that the profit y (in dollars) generated by
producing x solar panels per month is given by the equation S(x) =
8x + 0.8x2 − 0.002x3 − 4000. Graph the function in the viewing
rectangle [0, 400] by [−10,000, 20,000]. For...

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