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

## Answer this Question

## Related Questions

- math - Could you please solve so I can double check my answers for the practice ...
- math - I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, ...
- algebra - use the rational root theorem to list the possible rational roots for ...
- college algebra - 1. solve the following logarithmic equation log_8(x+8)+log_8(x...
- college algebra - use the remainder theorem to find the remainder when f(x) is ...
- Algebra 2 - Use the rational root theorem to determine which of the following ...
- college algebra - use the remainder theorem to find the remainder when f(x) is ...
- Using the factor Theorem - use the factor theorem to determine whether x-c is a ...
- Factor Theorem Math - Use the Factor Theorem to determine the rational zeros of ...
- ALGEBRA 2 - Use the Rational Root Theorem to list all possible rational roots ...

More Related Questions