Complex Numbers
(2+3i)+(-8+i)
-6+4i
What is the end behavior of the polynomial?
f(x)=10x^2-23x+50
rises to the left and right
xrarr-oo, f(x)rarroo
xrarroo, f(x)rarroo
How many zeros does the polynomial have?
f(x)=2x^5+4x^3-8x^2
5
What is the vertical asymptote?
f(x)=(x+3)/(x+2)
x=-2
(12-3i)-(5-4i)
7+i
Draw a degree 3 polynomial with x-intercepts only at -2 and 3.
answers vary
List the possible rational roots of:
f(x)=x^3+6x^2-9x-14
pm1, pm2, pm7, pm14
What is the horizontal asymptote of:
f(x)=(3x^2+4x+3)/(2x^2-4x-5)
y=3/2
sqrt(-50)
5isqrt(2)
Divide
2x^4-6x^3-12x^2+15x+4
by
x-4
2x^3+2x^2-4x-1
Is x+2 a factor of the polynomial?
f(x)=x^4+10x^3-24x^2+20x+44
No; f(-2) = -156
What is the x-intercept of:
f(x)=(3x-15)/(x+2)
(5,0)
(3-2i)(5+4i)
23+2i
Divide
2x^3-2x^2-21x-19
by
x+2
2x^2-6x-9+(-1)/(x+2)
If (x-4) is a factor of
f(x)=x^3+4x^2-25x-28
, find the remaining factors to rewrite in factored form
(x-4)(x+1)(x+7)
Rewrite in factored form:
f(x)=(x^2+4x+3)/(x^2-4x-5)
f(x)=(x+3)/(x-5)
(3+4i)/(7-i)
(17+31i)/(50)
Write a polynomial in standard form that has the following zeros:
-3,2i
f(x)=x^3+3x^2+4x+12
Find all zeros of the polynomial:
f(x)=x^3+6x^2-9x-14
x=-1,-7,2
What are the coordinates of the hole:
f(x)=(x^2+4x+3)/(x^2-4x-5)
(-1,-1/3)