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what is the difference between remainder and factor theorem?

the remainder theorem helps us find the reminder when a polynomial of degree n f(x)=a n x n +a n-1 x n-1 +.....+a 2 x 2 +a 1 x 1 +a 0 (where a n ,....,a 0 are coefficients) is divided by another polynomial g...
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How many solutions does the equation 2sin^2(x) - 4sin(x) + cos^2(x) + 2 = 0 have in the domain 0<x<2pi

Firstly lets rearrange the equation to get rid of cos^2(x) to make it easier to solve by using the identity sin^2(x)+cos^2(x) = 1. Then we get 2sin^2(x) - 4sin(x) + 1 - sin^2(x) + 2 = sin^2(x) - 4sin(x) + 3 ...
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Answered by Disha D. • MAT tutor
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Were the financial policies of Ludwig Erhard the main reason for the German 'Economic Miracle'?

In the wake of the destruction of WWII, Germany underwent a remarkable period of economic growth known as the 'Economic Miracle': annual GDP growth averaged 6% from 1950-70, and unemployment shrunk from arou...
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Answered by Jacob A. • History tutor
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Discuss Cleopatra’s presentation in Act 1 Scene 3

Cleopatra’s desire for Anthony acts to undermine her portrayal of commanding through her obsession with him that seems to govern her irrational actions. Her opening line: ‘where is he?’ portrays her to be ob...
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A satellite is in orbit of the Earth, and moves at a constant orbital speed of 3055.5m/s. If it is at an altitude of 35786km, calculate the time period for a complete cycle, giving your answer in hours. Answer should be given in in 3 significant figures.

Orbital Speed = [2Π(Orbital Radius)]/Time Period 3055.5m/s = 10999.8km/h therefore: 10999.8km/h = [2Π(35786km)]/TT = [2Π(35786km)]/(10999.8km/h)T = 20.4 hours
Answered by • Physics tutor
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