Posted by Richard on Sunday, September 30, 2012 at 9:52am.
well first of all divide top and bottom by 4
y=(24x3+68x2+24x−32)/(4x3+56x2+236x+280)
= (6x^3+17x^2+6 x-8)/(x^3+14x^2+59x+70)
try factoring the top. I went to an online graphing program and found roots of the top at
-2 , .5, - 1 1/3
so try
(x+2)(2x-1)(3x+4) that works
now the bottom same way
for the bottom roots are
-7, -.5 , -2
so
(x+7)(2x+1)(x+2)
well x+2 cancels so we really have
[ (2x-1)(3x+4) ] / [ (x+7)(2x+1) ]
that has zeros at 1/2 and -4/3
and is undefined at -7 and -1/2
Related Questions
Math - Simplify: x4 −4x3 −27x+108 ---------------- x3 &#...
Pre Calc - Does this: sqrt 3x-4=(x-4)^2-3 Multiply out to: x^4-16x^3+90^2-211x+...
Pre-Calc - I'm stuck on a pre-calc problem. I need to find y as a function ...
Calculus - An important problem in mathematics is that of root finding: that is...
Pre Calc - If f(x) = 2x − 1 and g(x) = x^2 + 5, find (f of g)(&#...
algebra - Which of the following is equivalent to the expression (t2 −...
Pre Calc - Write a quartic function that has roots that are 3+5i, -4 and 7 and f...
Math - Find the value(s) of x, so that f(x) = 0 for the function f(x) = ...
Pre-Calc-Please check - Is this correct? Using Rational Roots Theorem, list all...
Pre Calc - 7x^3-24x^2-19x+12 -----------------=f(x) 2x^3-4x^2-40x+80 -Determine ...
For Further Reading