Posted by **Ruth** on Sunday, November 6, 2011 at 4:48pm.

Use rational root theorem and the factor theorem to help solve the following equation

X4-2x3-13x2+38x-24=0

- College Algebra -
**Steve**, Monday, November 7, 2011 at 11:03am
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 x-a 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

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