Question

Find the exact solution(s) to the equation:
17x2=1720−x17x2=1720-x

x=x=

The polynomial P(x)P(x) of degree 4 has

- a root of multiplicity 2 at x = 4
- a root of multiplicity 1 at x = 0 and at x = -3
- It goes through the point (5, 12)

Find a formula for P(x)P(x).

Leave your answer in factored form.

P(x)=P(x)=

Answer #1

The polynomial of degree 4, P(x) has a root of multiplicity 2 at
x=2 and roots of multiplicity 1 at x=0 and x=-4 It goes through the
point (5,324).
Find a formula for P(x)

The polynomial of degree 5, P(x), has leading coefficient 1, has
roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity
1 at x=−1.
Find a possible formula for P(x).

Find an equation f(D)y = 0 where f(D) is a polynomial of degree
4 in D such that y = e^(−x)xcos(x) is a solution. What is the
general solution to the constructed equation f(D)y = 0?
As before, it is better to leave f(D) in factored form. Using
our fast formulas, verify that f(D)y = 0 for the given y and your
f(D). Be sure to note the appropriate numbered formulas used.

Find an equation for f(x), the polynomial of smallest degree
with real coefficients such that f(x) breaks through the x-axis at
−5, breaks through the x-axis at −4, has complex roots of 5−i and
−3−5i and passes through the point (0,68).

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).

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

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 real coefficients having the given
degree and zeros.
Degree 4;
zeros:-5+3i, -4 multiplicity 2
please show all steps and explain

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

Given that a polynomial function g has g(1)=-96, and has
x-intercepts at x = -3 (multiplicity 3), x=-1 (m.1), and 2 (m. 2),
sketch the graph of the function, then write a equation for g(x)
(can leave function in factored form) and describe its end
behavior.

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