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Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x² + 3x²³ - 7x² +16x+4 (a) c = 7 (b) c = -2

Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x² + 3x²³ - 7x² +16x+4 (a) c = 7 (b) c = -2

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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Use the remainder theorem to determine if the given number \( c \) is a zero of the polynomial. \[ f(x) = 5x^4 + 3x^3 - 7x^2 + 16x + 4 \] (a) \( c = 7 \) (b) \( c = -2 \)
Transcribed Image Text:Use the remainder theorem to determine if the given number \( c \) is a zero of the polynomial. \[ f(x) = 5x^4 + 3x^3 - 7x^2 + 16x + 4 \] (a) \( c = 7 \) (b) \( c = -2 \)
Expert Solution
Step 1: We are using the Remainder Theorem

Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is p(a).

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