Question

Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root. f(x) = 3x^4 - 17x^3 + 3x^2 + 33x + 10. The zeros of the function are (Type integers or simplified fractions. Use a comma to separate answers as needed.)

          Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root.
f(x) = 3x^4 - 17x^3 + 3x^2 + 33x + 10.
The zeros of the function are 
(Type integers or simplified fractions. Use a comma to separate answers as needed.)

$Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root. f(x) = 3x^4 - 17x^3 + 3x^2 + 33x + 10. The zeros of the function are (Type integers or simplified fractions. Use a comma to separate answers as needed.)$

Added by Timothy J.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Monique Rousselle Maynard

03/27/2020

Step 1

The Rational Zero Theorem states that any rational zero of the form p/q, where p is a factor of the constant term (in this case, 10) and q is a factor of the leading coefficient (in this case, 3), may be a zero of the polynomial function. The factors of 10 are Show more…

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Find all zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root. f(x) = 3x^4 - 17x^3 + 3x^2 + 33x + 10 The zeros of the function are: -1/3, 1/3, 2, 5