5. The cubic function f(x) = ax^3 - x^2 + bx - 24, where a and b are real numbers, has three factors. Two of these factors are (x - 2) and (x + 4). Determine the sum (a + b). а) 10 b) 35 c) 50 d) 15 e) 30 f)22 g) 25 h) 40 i) 45 j) 20

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 56E
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5. The cubic function f(x) = ax^3 - x^2 + bx - 24, where a and b are real numbers, has three
factors. Two of these factors are (x - 2) and (x + 4). Determine the sum (a + b).
%3D
a) 10
b) 35
c) 50
d) 15
e) 30
f)22
g) 25
h) 40
i) 45
j) 20
Transcribed Image Text:5. The cubic function f(x) = ax^3 - x^2 + bx - 24, where a and b are real numbers, has three factors. Two of these factors are (x - 2) and (x + 4). Determine the sum (a + b). %3D a) 10 b) 35 c) 50 d) 15 e) 30 f)22 g) 25 h) 40 i) 45 j) 20
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