Use the factor theorem to
determine if h(x) is a factor of f(x).
h(x) = x – 2
f(x) = x³ + x² -4x + 4
Find the quotient and remainder of the
following:
5x4 + 5x² + 5
x² - x + 1
Find the remainder when f(x) is
divided by g(x) without using division
f(x) = 10x75 -8x65 + 6x45 + 4x32 -2x15 + 5
g(x) = x - 1
For f(x) 2x5 + x4 – 9x² + 4x + 1 find:
a)Any rational zeros
b)Use Descartes Rule of signs to find
positive and negative zeros
c)Find an upper and lower bound –
show if works or not
d)List all the real zeros
For the following: h(x) .25x4 – 2x³ + 4x² find:
a)x-intercepts
b)y-intercepts
c)Extrema points (how many)
d)# of points of inflection
e)Multiplicity
f) Sketch the graph
Find the complete graph of f(x)= x+2
x²+x-12
a)Find domain
b)Find X-intercepts
c)Find y-intercepts
d)Find Vertical Asymptotes
e)Find any holes
f) Find Horizontal Asymptotes
g)Sketch the curve by sign analysis
For f(x) x7- 2x6- 5x5+ 13x4- 10x³+ 11x² - 4x - 4
find:
a)Any rational zeros
b)Use Descartes Rule of signs to find
and negative zeros
positive
c)Find an upper and lower bound – show if
works or not
d) List all the real zeros
Find the following:
(-i)213
Find the following:
3
4+5i
Solve the equation and express in
factor form:
3x² + 4 = -5x
Completely factor f(x) = x4 – 5x³+ 2x²+ 22x - 20