Question

Write a polynomial F(x) with real coefficients in standard form that has zeros 2 and 3+i.

Answer #1

So,F(x)= x^3-8x^2+22x-20 is your polynomial

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 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 a polynomial function with real coefficients and least
degree having zeros 2 – i, 3 and -1.

Let f(x) be a cubic polynomial of the form x^3 +ax^2 +bx+c with
real coefficients.
1. Deduce that either f(x) factors in R[x] as the product of
three degree-one
polynomials, or f(x) factors in R[x] as the product of a
degree-one
polynomial and an irreducible degree-two polynomial.
2.Deduce that either f(x) has three real roots (counting
multiplicities) or
f(x) has one real root and two non-real (complex) roots that are
complex
conjugates of each other.

write the polynomial equation f(x) in factored form with leading
coefficient -2, and zeros -1(double root), 1 (single root), and 3
(single root).
A) write f(x) in factored form
B) What is its degree?
C) what is its y-intercept
D) sketch the graph showing the zeros and y-intercept

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 P(x) with real coefficients having a degree
4, leading coefficient 4, and zeros 2-i and 3i.

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

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