Use synthetic division and the remainder theorem to determine if the given binomial is a factor of the polynomial. a. m² + 6m³ + 11m² +29m - 13 ÷ (m + 5) b. (8v³ +32v¹ +5v+20) ÷ (v + 4) :: Yes :: No -10 -9 Remainder 3 :: 4 -7 Remainder :: -6 :: 6 Is the binomial a factor?! #-5 #7 #8 Is the binomial a factor? :: -3 1 2 ::-2 10 3 ::-1 4 5 ::0 6 :: 1 7 8 2 9 10
Use synthetic division and the remainder theorem to determine if the given binomial is a factor of the polynomial. a. m² + 6m³ + 11m² +29m - 13 ÷ (m + 5) b. (8v³ +32v¹ +5v+20) ÷ (v + 4) :: Yes :: No -10 -9 Remainder 3 :: 4 -7 Remainder :: -6 :: 6 Is the binomial a factor?! #-5 #7 #8 Is the binomial a factor? :: -3 1 2 ::-2 10 3 ::-1 4 5 ::0 6 :: 1 7 8 2 9 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Remainder and Factor Theorem
Transcribed Image Text:Use synthetic division and the remainder theorem to determine if the given binomial is a factor of the polynomial.
a. m² +6m³ + 11m² +29m - 13 ÷ (m+5)
b. (85 +32v¹ +5v+20) ÷ (v + 4)
:: Yes
No
-10
-9
Remainder
3
-8
:: 4
-7
Remainder
:: 5
:: -6
6
Is the binomial a factor?!
-5
:: 7
O
-4
8
◄
Is the binomial a factor?
:: -3
:: 9
1
2
-2
10
3
4
-1
5
::0
:: 1
8
7
6
2
9
10
Ne
No
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