Question

Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.) P(x) = 6x3 − 5x2 + 8x − 1

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...

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 =

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) = 3x^3 + 5x^2 − 5x − 7

find the zeros of P(x)=
6x4-7x3+56x2-63x+18. include
descartes rule of signs,upper bound, etc. thanks

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) =

Find all solutions of the equation and express them in the
form
a + bi.
(Enter your answers as a comma-separated list. Simplify your
answer completely.)
2x2 − 2x + 1 = 0
x =
pt. 2
Find all solutions of the equation and express them in the
form
a + bi.
(Enter your answers as a comma-separated list. Simplify your
answer completely.)
16x2 + 3 = 8x
x =
pt.3
A polynomial P is given.
P(x) = x4 +...

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...

Sketch the graph of the function by applying the Leading
Coefficient Test, finding the real zeros of the polynomial,
plotting sufficient solution points, and drawing a continuous curve
through the points.
g(x) = 1/10(x + 1)2(x − 4)3
(a) Apply the Leading Coefficient Test.
The graph of the function rises to the left and rises to the
right.
The graph of the function rises to the left and falls to the
right.
The graph of the function falls to the...

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