Question

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

Answer #1

SOLUTION::

The polynomial function

the polynomial function will be zero when f(x)=0

when x=1 then 1-3+12-28+27-9=0

so is one factor must b ( x-1)

then

there function will be zero when x-1=0

x=1

AND x2 +9 =0

so function will be zeros when

b) the completly factor of the function is

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 =...

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) =

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.Determine all the zeros and their multiplicities of the
polynomial function f(x) = x 5 − 6x 3 + 4x 2 + 8x − 16
2. Find all the zeros of the function f(x) = x 5 − 4x 4 + x 3 −
4x 2 − 12x + 48 given that −2i and 4 are some of the zeros.

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 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

a. Find a polynomial of the specified degree that has the given
zeros.
Degree 3; zeros −5, 5, 7
b. Find a polynomial of the specified degree that satisfies the
given conditions.
Degree 4; zeros −4, 0, 1,
5; coefficient of
x3 is 4

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) =...

Given the polynomial f(x) = 3x^4 -7x^3 -3x^2 + 17x + 10, and
given the zeros of -1 and -2/3,
A). Write the polynomial in linear and irreducible quadratic
factors
B). Write the linear factorization of the polynomial.

f(x)=x^3+8x^2+14x+4 (given that -2 is a zero)
find all zeros of the polynomial function

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