SOLUTION: Could someone please help me!! I really need help asap please!!!! Find the horizontal and vertical asymptotes of the function f(x)=x^2+3x-2/x-4 Find all real and complex z

Question 64742: Could someone please help me!!
I really need help asap please!!!!
Find the horizontal and vertical asymptotes of the function f(x)=x^2+3x-2/x-4

Find all real and complex zeros of the polynominal p(x)=2x^5-x^4+x^3+19x^2-11x-10
Thanks for all your help!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the horizontal and vertical asymptotes of the function f(x)=x^2+3x-2/x-4
Horizontal asymptote:
Look at the coefficients of x^2 in the numerator and denominator; they are
1 in the numerator and 0 in the denominator.
The horizontal asymptote is 1/0 which is undefined.
Therefore there is no horizontal asymptote.
--------
Verical asymptote:
These occur when the denominator is zero:
x-4=0 when x=4
So you have a vertical asymptote at x=4
----------

------------------
Find all real and complex zeros of the polynominal p(x)=2x^5-x^4+x^3+19x^2-11x-10
Zero at x=-2 (I got this by graphing p(x) on a TI-83
Using synthetic division maybe we can find other zeroes:
-2)...2....-1....1....19....-11....10
......2....-5...11....-3....-5..|...0
These coefficients add up to zero so x=1 is a zero.
1)....2....-3....8.....5..|..0
-1/2).2....-4....10..|.0
Quotient is now 2x^2-4x+10
Use the quadratic formula to find complex zeroes:
x=[4+-sqrt(16-4*2*10)]/4
x=[-4+-sqrt(16-80)]/4
x=-1+2i; x=-1-2i
Zeroes are x=1, -1/2, -2, -1+2i, -1-2i
Cheers,
Stan H.

RELATED QUESTIONS
I need help Identify horizontal asymptotes of this function? y=-3/(x-1)+2 could... (answered by lwsshak3)

I need help Identify the vertical and horizontal asymptotes of this function?... (answered by MathLover1)

Hi, Can someone please help me? . Can someone please explain HOW to find the 3... (answered by MRperkins)

Hi, Can someone please help me? . Can someone please explain HOW to find the 3... (answered by midwood_trail)

I am so lost can someone help please find all the asymptotes for the following... (answered by scott8148)

For each of the following polynomial functions, find the following (if they exist):... (answered by venugopalramana)

Could someone please help me with this problem? Graph y=2^x-3. Label all x-intercepts, (answered by funmath)

please help me with this problem....Find the vertical, horizontal, and oblique... (answered by jim_thompson5910)

Please help me with this : The denominator in a rational function defines that... (answered by stanbon)