Using the rational zeros theorem to find all zeros of a polynomial

Algebra
Tutor: None Selected Time limit: 1 Day

the function below has at least one rational zero.  Use this fact to find all zeros of the function.

h(x)=7^4-9x^3-41x^2+13x+6

if more than one zero, separate with commas.  Write exact values, not decimal approximations

Oct 18th, 2015

Thank you for the opportunity to help you with your question!

The ratios of the constant and leading coefficient are:

+-1, +-2, +-3, +-6, +-1/7, +-2/7, +-3/7, +-6/7

Trying these possible roots, came up with

x = -2

x = 3

x = 1/7 + 2sqrt2/7

x = 1/7 - 2sqrt2/7

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 18th, 2015

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Oct 18th, 2015
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Oct 18th, 2015
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