A. Use the Remainder Theorem to find the remainder R in each of the following. Then check using synthetic division. 1. (x-x3 + 2) (x + 2) 2. (x3- 2x2 + x+ 6) (x- 3) 3. (x4-3x3 + 4x2 - 6x + 4) + (x - 2)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A. Use the Remainder Theorem to find the remainder R in each of the following.
Then check using synthetic division.
1. (x- x3 + 2) + (x + 2)
2.
(x3-2x2 + x + 6) (x-3)
3. (x-3x3 + 4x2 - 6x + 4) (x- 2)
4. (x-16x3 + 18x2- 128) (x + 2)
5. (3x2 + 5x3-8) (x- 4)
B. Use the Factor Theorem to determine whether or not the first polynomial is a
factor of the second.
1.
X- 1; x2 + 2x + 5
2.
x+1; х3 - х-2
x-4; 2x3- 9x2 + 9x - 20
3.
4.
a 1; a3-2a2 + a- 2
5. y+ 3; 2y3 + y2 - 13y +6
Transcribed Image Text:A. Use the Remainder Theorem to find the remainder R in each of the following. Then check using synthetic division. 1. (x- x3 + 2) + (x + 2) 2. (x3-2x2 + x + 6) (x-3) 3. (x-3x3 + 4x2 - 6x + 4) (x- 2) 4. (x-16x3 + 18x2- 128) (x + 2) 5. (3x2 + 5x3-8) (x- 4) B. Use the Factor Theorem to determine whether or not the first polynomial is a factor of the second. 1. X- 1; x2 + 2x + 5 2. x+1; х3 - х-2 x-4; 2x3- 9x2 + 9x - 20 3. 4. a 1; a3-2a2 + a- 2 5. y+ 3; 2y3 + y2 - 13y +6
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