Question

The polynomial $p(x) = x^3 - 6x^2 + 11x - 6$ has three real roots. List them in increasing sequence: Hint: Find one of the roots by trial and error (it's easy for this problem), use synthetic division, and finish by solving a quadratic equation.

          The polynomial
$p(x) = x^3 - 6x^2 + 11x - 6$
has three real roots. List them in increasing sequence:
Hint: Find one of the roots by trial and error (it's easy for this problem), use synthetic division, and finish by solving a quadratic equation.

The polynomial
p(x) = x^3 - 6x^2 + 11x - 6
has three real roots. List them in increasing sequence:
Hint: Find one of the roots by trial and error (it's easy for this problem), use synthetic division, and finish by solving a quadratic equation.

Added by Craig C.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Supreeta N

03/28/2023

Step 1

We can start by trying x=1, since it's a simple number to work with. Show more…

Show all steps

Thanks for your feedback!

The polynomial p(x)=x^(3)-6x^(2)+11x-6 has three real roots. List them in increasing sequence: Hint: Find one of the roots by trial and error (it's easy for this problem), use synthetic division, and finish by solving a quadratic equation. The polynomial p(x=x3-6x2+11x-6 has three real roots.List them in increasing sequence: Hint:Find one of the roots by trial and error (it's easy for this problem,use synthetic division, and finish by solving a quadratic equation.