1.Given the polynomial, list each zero and the corresponding multiplicity. f(x)
ID: 3032962 • Letter: 1
Question
1.Given the polynomial, list each zero and the corresponding multiplicity.
f(x) = 2x(x + 4)2
2. Given the polynomial, determine the end behavior by stating the power function that the graph of f(x) resembles.
f(x) = 2x(x + 4)2
3. Given the polynomial, approximate the location of the turning points to two decimal places.
f(x) = 2x(x + 4)2
4. Determine whether (x - c) is a factor of f(x). If so, write it in factored form.
(x - c) = (x + 3)
f(x) = -4x3 + 5x2 + 8
5. Given a polynomial f(x) with real coefficients and the following information, find the remaining zeros of f(x).
Degree 4
Zeros: 2 - i, i
6.
Use the given zero (1 + 3i) to find the remaining zeros (complex or real) of
f(x) = x4 - 7x3 + 14x2 - 38x - 60
7.
Use the given zero (- 5i) to find the remaining zeros (complex or real) of
f(x) = x3 + 3x2 + 25x + 75
8.Find all local minima and local maxima, if any, of f(x) = (3x2 - 18x + 24)/(x + 2).
Round to two decimal places.
9. Find all local maxima or local minima, if they exist, of h(x) = (4x2 - 4)/(x4 - 16).
Explanation / Answer
1.Given the polynomial, list each zero and the corresponding multiplicity.
f(x) = 2x(x + 4)2
zeros : 2x(x +4)^2 = 0
x =0 ( multiplicity 1)
x = -4 . -4 ( multiplicity 2)
2. Given the polynomial, determine the end behavior by stating the power function that the graph of f(x) resembles.
f(x) = 2x(x + 4)2
power function ; f(x) = 2*x*x^2 = 2x^3
odd degree power function
So, for x ----> - inf ; f(x) ----> -inf
for x ---> +inf ; f(x) ----> +inf
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.