Question

A polynomial *P* is given.

P(x) = x^{4} − 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) = |

Answer #1

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...

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...

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 +...

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

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 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...

1. Find a polynomial equation with real coefficients that has
given zeros.
3 - 7i and 3 + 7i
The equation is x2 - ___x + ___ = 0
2. Find all complex zeros of the polynomial function. Give exact
values. List multiple zeros as necessary.
f(x) = x4 +10x3 - 31x2 + 80x -
312
All complex zeros are ____
3. Find all complex zeros of the polynomial function. Give exact
values. List multiple zeros as necessary.
f(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...

6. For the given polynomial, find all zeros of the polynomial
algebraically. Factor the
polynomial completely.
P(x) = x^5 − 3x^4 + 12x^3 − 28x^2 + 27x − 9

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