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Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9) g(x) = x³ + 2x²-x-2 h(x) = 3x³ +6x²-3x-6 a. What is the value of f(7)? f(7)= 0 (Simplify your answer.) b. For what values, other than 7, is f(x) = f(7)? x = 8,-9 (Use a comma to separate answers as needed.) c. Evaluate the following. g(-1) = 0 g(1) = 0 g(-2) = 0 .... d. Based on your answers from part c, what do you think is the factored form of g(x)? Verify your answer by multiplying it out and comparing with g(x). g(x) = (Factor completely.)

Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9) g(x) = x³ + 2x²-x-2 h(x) = 3x³ +6x²-3x-6 a. What is the value of f(7)? f(7)= 0 (Simplify your answer.) b. For what values, other than 7, is f(x) = f(7)? x = 8,-9 (Use a comma to separate answers as needed.) c. Evaluate the following. g(-1) = 0 g(1) = 0 g(-2) = 0 .... d. Based on your answers from part c, what do you think is the factored form of g(x)? Verify your answer by multiplying it out and comparing with g(x). g(x) = (Factor completely.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9) g(x) = x³ + 2x²-x-2 h(x) = 3x³ +6x²-3x-6 a. What is the value of f(7)? f(7)= 0 (Simplify your answer.) b. For what values, other than 7, is f(x) = f(7)? x = 8,-9 (Use a comma to separate answers as needed.) c. Evaluate the following. g(-1) = 0 g(1) = 0 g(-2) = 0 ... d. Based on your answers from part c, what do you think is the factored form of g(x)? Verify your answer by multiplying it out and comparing with g(x). g(x) = (Factor completely.)
Transcribed Image Text:Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9) g(x) = x³ + 2x²-x-2 h(x) = 3x³ +6x²-3x-6 a. What is the value of f(7)? f(7)= 0 (Simplify your answer.) b. For what values, other than 7, is f(x) = f(7)? x = 8,-9 (Use a comma to separate answers as needed.) c. Evaluate the following. g(-1) = 0 g(1) = 0 g(-2) = 0 ... d. Based on your answers from part c, what do you think is the factored form of g(x)? Verify your answer by multiplying it out and comparing with g(x). g(x) = (Factor completely.)
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