Question

Form a polynomial f(x) with the real coefficients having the given
degree and zeros

Degree 4; zeros: -1,2 and 1-2i

Answer #1

**Solution:**

Since the polynomial has real coefficients, complex roots occur in conjugate pairs

So, since
is a root , _{
} must also be a root.

By the Factor Theorem ,

If
is a root of _{
} then
is a factor of _{
.}

The required polynomial is

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

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

Find a polynomial? P(x) with real coefficients having a degree?
4, leading coefficient 22?, and zeros 44minus?ii and 33ii.
?P(x)equals= nothing

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

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

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

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).

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 20 minutes ago

asked 22 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago