Question

The function below has at least one rational zero. Use this fact to find all zeros of the function. h(x)=2x^4-15x^3+7x^2-x+7 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Name: the function below has at least one rational zero use this fact to find all zeros of the function hx2x4 15x37x2 x7 if there is more than one zero separate them with commas write exact values 72787
Uploaded: 2022-01-03T19:38:15-08:00
Duration: 2 min 58 s
Channel: Gregory Higby
Description: the function below has at least one rational zero use this fact to find all zeros of the function hx2x4 15x37x2 x7 if there is more than one zero separate them with commas write exact values 72787

          The function below has at least one rational zero. Use this fact
to find all zeros of the function.
h(x)=2x^4-15x^3+7x^2-x+7
If there is more than one zero, separate them with commas. Write
exact values, not decimal approximations.

Added by Jamie N.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Gregory Higby

01/03/2022

Step 1

The Rational Root Theorem states that any rational zero, in the form of \( \frac{p}{q} \), of a polynomial function with integer coefficients is such that \( p \) is a factor of the constant term and \( q \) is a factor of the leading coefficient. For the Show more…

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The function below has at least one rational zero. Use this fact to find all zeros of the function. h(x)=2x^4-15x^3+7x^2-x+7 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.