x-1 being HCF (highest common factor), or factor of the expression implies that it divides the expression in question
So, x-1=0 is a root of the polynomial ax^2-b(x+1), this means putting 1 into the polynomial expression should give us 0
For x=1, we get a-b(1+1)=0 => a-2b=0
therefore we get, a=2b.
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Profess 2. Product 3. Prosecute 4. Precaution 5. Proctor
Option 1: 2, 5, 4, 1, 3
Option 2: 3, 5, 2, 1, 4
Option 3: 4, 5, 2, 3, 1
Option 4: 4, 5, 2, 1, 3
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
Hearing these strange noise above, the thought at once occurred to me that thieves had entered the house.
(1) No Error
(2) the thought at once occurred to me
(3) that thieves had entered the house
(4) Hearing these strange noise above
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
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