Question

Use the Rational Root Theorem to find all roots of f(x) = 4x 3 − 3x + 1.

Answer #1

Conclusion- By using the Rational Root Theorem

X=1/2 is root of the given F(x).

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f(x) = 3x^4-4x^3-3x^2-x-2
find the rational roots by the rational root test

Use the Rational Root Theorem to find all possible rational
roots then use Newton’s Method to find one rational root and then
synthetic division and the quadratic formula to find the any
remaining rational, irrational or complex roots.
Px=3x^5-8x^4-17x^3+38x^2+20x-24

Use the rational root theorem to argue square root of 2 plus
cube root of 3 is irrational

Find the antiderivative
f(x) = 3x^2 + 4x + 5
f(x) = 3 cos x
f(x) = e^2x + 4x^3
f(x) = sec^2 x

Let ?(?)=2?3−9x^2+3?+4.
List all possible rational roots of ?g, according to the
Rational Zeros Theorem.
You must list positive and negative roots separately (there is no
±± in WeBWorK).
Separate your list with commas.
Factor ? completely:
?(?)=____
The x-intercepts of the graph of ?=?(?) are:
Note: Use commas to separate your answers.
?=___
The y-intercept of the graph of ?=?(?) is:
?=____
Select the correct graph of ?=?(?): ? Graph A Graph
B Graph C Graph D Graph E Graph...

consider the following function f(x)=x2-3x/x2-4x+3
find all x inter and the equations of all vertical
asymptotes

Use the remainder theorem to find the remainder when f(x) is
divided by x+3. Then use the factor theorem to determine whether
x+3 is a factor of (x).
The remainder is ________
Is x+3 a factor of f(x)=3x^6-27x^4+x^3-7

Given f(x) = 2x3 − 7x2 – 3x + 8
a) Find all roots of the function and simplify them as much as
possible
b) Sketch the complete graph
c) indicate the viewing window
d) Find the x-intercepts
e) Find the relative maximum and minimum to the nearest
hundredth

The function f(x) = 3x 4 − 4x 3 + 12 is defined for all real
numbers. Where is the function f(x) decreasing?
(a) (1,∞) (b) (−∞, 1) (c) (0, 1) (d) Everywhere (e) Nowhere

find the following for the function f(x)=3x^2+4x-4
a. f(0) b. f(3) c. f(-3) d. f(-x) e. -f(x) f. f(x+2) g. f(4x) h.
f(x+h)

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