Question

in exercises 47-50, find the polynomial function f with real coefficients that has the given degree, zeros, and solution point. degree 3. zeros -3, 1+ square root 3i. solution point f(-2)=12

Answer #1

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

Form a polynomial f(x) with the real coefficients having the given
degree and zeros
Degree 4; zeros: -1,2 and 1-2i

Find an equation for f(x), the polynomial of smallest degree
with real coefficients such that f(x) bounces off of the x-axis at
5, breaks through the x-axis at −1, has complex roots of −5−3i and
−4+2i and passes through the point (0,89).

Find a polynomial of degree 3 with real coefficients that
satisfies the given conditions.
Zeros of -4 and 1-i, p(0)=8

Find a polynomial f (x) of degree 4 with real coefficients and
the following zeros.
4 (multiplicity 2) , i
f(x)=

Form a polynomial f left parenthesis x right parenthesis with
real coefficients having the given degree and zeros. Degree 4;
zeros: 4 minus 3 i ; 4 multiplicity

Find the polynomial with real coefficients of the smallest possible
degree for which 4i and 1+i are zeros and in which the coefficient
of the highest power is 1.

Construct a polynomial function with the following properties:
third degree, only real coefficients, −5 − 5 and 2+i 2 + i are two
of the zeros, y-intercept is −25 − 25

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...

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

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