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Given x = 2 is a zero of the polynomial f(x) = 4x³ – 13x − 6, find the rest of the zeros of the function. x =

Given x = 2 is a zero of the polynomial f(x) = 4x³ – 13x − 6, find the rest of the zeros of the function. x =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** Given \( x = 2 \) is a zero of the polynomial \( f(x) = 4x^3 - 13x - 6 \), find the rest of the zeros of the function. **Solution:** \[ x = \underline{\hspace{3cm}} \] **Explanation:** To find the rest of the zeros, one can perform synthetic division or factor the polynomial knowing that \( x = 2 \) is a root. This will help to simplify the polynomial to a quadratic, which can then be solved using the quadratic formula or factoring if possible.
Transcribed Image Text:**Problem Statement:** Given \( x = 2 \) is a zero of the polynomial \( f(x) = 4x^3 - 13x - 6 \), find the rest of the zeros of the function. **Solution:** \[ x = \underline{\hspace{3cm}} \] **Explanation:** To find the rest of the zeros, one can perform synthetic division or factor the polynomial knowing that \( x = 2 \) is a root. This will help to simplify the polynomial to a quadratic, which can then be solved using the quadratic formula or factoring if possible.
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x=2 is a zero of the polynomial f(x)= 4x3-13x-6

 

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