Question

f(x)=x^3+8x^2+14x+4 (given that -2 is a zero)

find all zeros of the polynomial function

Answer #1

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.

Given the function h(x)= x4+2x3-13x2-14x+24 find the zeros given
that x =1 is a zero. Please show your work!!

A20) Given that f(x) is a cubic function with
zeros at −2−2 and 2i−2, find an equation for f(x) given that
f(−7)=−6
B19) Find a degree 3 polynomial whose coefficient
of x^3 equal to 1. The zeros of this polynomial are 5, −5i, and 5i.
Simplify your answer so that it has only real numbers as
coefficients.
C21) Find all of the zeros of P(x)=x^5+2x^3+xand
list them below with zeros repeated according to their
multiplicity.
Note: Enter the zeros as...

1. a) For the polynomial f(x) = ?4 − 4?^3 + 22?^2 + 28?− 203,
find the following:
a. Find all the zeros using the given zero ? = 2 − 5?. Write the
zeros in exact form.
b. Factor f(x) as a product of linear factors.
Zeros: x = x = x= x=

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) =...

Find all zeros of the polynomial function given
below.5x^5-51x^4+155x^3-229x^2+540x-100

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.

You will need to use the rational zero test to find all the
possible rational zeros, along with synthetic division to find the
actual zeros of the function. f(x)=-2x^3-7x^2+14x-5

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

form a polynomial F(x) with real coefficients having the given
degree and zeros
degree 4
zeros 2-3i; -3 multiplicity 2

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