1. Find the remainder when x + 3x2 + 3x + 1 is divided by
a)5+2x
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1
Answer:
-27/8
Step-by-step explanation:
Given :
f(x) = x³ + 3x² + 3x + 1
g(x) = 5 + 2x
Apply remainder theorem
=> 5 + 2x = 0
=> 2x = - 5
=> x = - 5/2
Replace x by -5/2 we get
=> x³ + 3x² + 3x + 1
=> (-5/2)³ + 3(-5/2)² + 3(-5/2) + 1
=> -125/8 + 75/4 - 15/2 + 1
=> -27/8
Remainder is -27/8
Hope it helps!
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