2.1
It is shifted 2 units right and 3 units up.
x=a is a _____ to the polynomial equation f(x)=a
A solution.
Using long division, divide x6+2x5+5x3+4x2+6 by x3+2.
x3+2x2+3
What is a complex number?
A number based on the combination of a real number and an imaginary one.
Find the domain of f(x)=1/x
(-infinity,0)U(0, infinity)
Write the standard form given the vertex (1,2) and the point (3,-6).
f(x)=-2(x-1)2+2
(x-a) is a _____ of the polynomial f(x).
Factor
Using synthetic division, divide x5+x3+2x2-12x+8 by x+2.
x4-2x3+5x2-8x+4
What is the standard form of complex numbers?
a+bi
What are the asymptotes of (x2+3x+4)/(x2-4)?
Vertical Asymptotes: x=-2,2
Horizontal Asymptote: y=1
Write the quadratic equation in standard form by completing the square.
f(x)=2x2+8x+7
f(x)=2(x+2)2-1
(a,0) is a __-______ to the graph of f.
X-Intercept.
What does the remainder theorem allow you to do?
It allows you to check whether synthetic division can be used to evaluate a polynomial function.
Multiply 5+2i x 7+i.
5+15i
Find the asymptotes and x-intercepts of (x3+x)/(x2)
Vertical Asymptote: x=0
X-Intercept: None
Describe the relation between f(x)=x3 and g(x)=(1/3)x3+7.
It is stretched by a factor of 3 and shifted 7 units up.
Find the zeroes of f(x)=x3+8.
X=-2
What are the possible number of zeroes for the equation f(x)=x4+x-20?
Multiply the square root of -4 to the square root of -16.
-8
Find the asymptotes and x-intercepts of (x4+x3+2x)/(x2+x+4)
No vertical or horizontal asymptotes.
X-Intercept: (0,0)
Write f(x)=-x2+6x-8 in standard form.
f(x)=-(x-3)2+1
Find the zeroes of f(x)=4x5+3x3+7
x=-1
Divide 2x4-9x3+21x2-26x+12 by 2x-3.
x3-3x2+6x-4
Evaluate (4+10i)2.
-84+80i
Find the asymptotes and x-intercepts of (x6)/(x2+1)
No Vertical or Horizontal Asymptotes.
X-Intercept: (0,0)