1. For the function f(x) = 2x3 – 5x2 – 4x + 3, a. Find f(-5) using synthetic division and the Remainder Theorem. b. Is -5 a zero of the function? Explain. circle one: Yes or No c. Use synthetic division to determine if x - 3 is a factor of f(x). circle one: Yes or No

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Follow directions! Show work for the problems in the space provided, completely, neatly and
logically. No work = No credit. Simplify your answers. Put your answers, and only the
answers, on the blanks when provided. Use proper notation. Please don't use the word "it" in
your explanations!
1. For the function f(x) = 2x³ – 5x² – 4x + 3,
a. Find f(-5) using synthetic division and the Remainder Theorem.
b. Is -5 a zero of the function? Explain.
circle one:
Yes or No
c. Use synthetic division to determine if x – 3 is a factor of f(x).
circle one:
Yes or No
d. Is 3 a zero of the function? Explain.
circle one:
Yes or No
e. Factor the reduced polynomial (the quotient from the division) to find the remaining zeros.
(Yes, you can factor! This is an easy one!
f. List all of the zeros of the polynomial.
g. Write the polynomial function as a product of linear factors. (Don't forget the leading coefficient)
Transcribed Image Text:Follow directions! Show work for the problems in the space provided, completely, neatly and logically. No work = No credit. Simplify your answers. Put your answers, and only the answers, on the blanks when provided. Use proper notation. Please don't use the word "it" in your explanations! 1. For the function f(x) = 2x³ – 5x² – 4x + 3, a. Find f(-5) using synthetic division and the Remainder Theorem. b. Is -5 a zero of the function? Explain. circle one: Yes or No c. Use synthetic division to determine if x – 3 is a factor of f(x). circle one: Yes or No d. Is 3 a zero of the function? Explain. circle one: Yes or No e. Factor the reduced polynomial (the quotient from the division) to find the remaining zeros. (Yes, you can factor! This is an easy one! f. List all of the zeros of the polynomial. g. Write the polynomial function as a product of linear factors. (Don't forget the leading coefficient)
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