Given the factor of the polynomial, completely factor the polynomial. f(x)=x³-2²-14x + 24; x-3 f(x)=( 56 56

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Remainder and Factor Theorem
Given the factor of the polynomial, completely factor the polynomial.
f(x) = x³ - x² - 14x + 24; x - 3
f(x) = (
#x-10
#x+1
x-9
x+2
x
8
56
x+3
#x-7
x+4
x-6 #x-5 #x-4 #x-3
#x+5
#x+6
◄
#x+7
1
2
x+8
#x-2
#x+9
3 4 5 6
#x-1
x+10
7 8
9 10
Transcribed Image Text:Given the factor of the polynomial, completely factor the polynomial. f(x) = x³ - x² - 14x + 24; x - 3 f(x) = ( #x-10 #x+1 x-9 x+2 x 8 56 x+3 #x-7 x+4 x-6 #x-5 #x-4 #x-3 #x+5 #x+6 ◄ #x+7 1 2 x+8 #x-2 #x+9 3 4 5 6 #x-1 x+10 7 8 9 10
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