Posted by Ruth on .
Use rational root theorem and the factor theorem to help solve the following equation
X42x313x2+38x24=0

College Algebra 
Steve,
If there rational roots to
x^4  2x^3  13x^2 + 38x  24 = 0
then the numerator must divide 24 and the denominator must divide 1.
In other words, the roots must be a factor of 24, in this case.
The factor theorem says that if xa divides f(x), then a is a root of f(x) = 0.
A little easy synthetic division reveals that roots are present at
x = 1,2,3,4