7. Use the remainder theorem to find the remainder when g10 + g8 is divided by x -1 without dividing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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6. Use the factor theorem to determine if z -1 is a factor of f(z) = 2r* + 3r - 5z +1
1.
f(1)-211)++3(1)-s1)+7
-ス3-547
= S-5+7
f(1)=7
not o
SO
(x-1) is not a factor of f(x )-2x443x²Sx+7
7. Use the remainder theorem to find the remainder when z10 + 78 is divided by a -1 without dividing.
8. . Given f(x) = x4 – 7a3 + 14x? + 2x – 20, where a = 3 + i is a root, use synthetic division to find the other
roots of f. Write f(x) in its factored form.
Transcribed Image Text:6. Use the factor theorem to determine if z -1 is a factor of f(z) = 2r* + 3r - 5z +1 1. f(1)-211)++3(1)-s1)+7 -ス3-547 = S-5+7 f(1)=7 not o SO (x-1) is not a factor of f(x )-2x443x²Sx+7 7. Use the remainder theorem to find the remainder when z10 + 78 is divided by a -1 without dividing. 8. . Given f(x) = x4 – 7a3 + 14x? + 2x – 20, where a = 3 + i is a root, use synthetic division to find the other roots of f. Write f(x) in its factored form.
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