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piyushtheiitaspirant (9)

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if   x2-x+1=0 is a factor of ax3+bx2+cx+d=0 then




 






THE CORRECT ANSWER: a - d = b + 2c



plz   EXPLAiN:!!!!!!!!!!




 


sec question




 


The sum of all divisors of 2^5.3^4.5^2



is??????/




 


THE CORRECT ANSWER  3^2.7^1.11^2.31^1




 


plz explain


PIYUSH MADAN
    
rhd92781 (631)

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ax^3+bx^2+cx+d = (x^2-x+1)(ax + (a+b)) = ax^3 + bx^2 - bx + (a+b)

so b=-c and a+b=d
so a-d = -b = c
b+2c = b-2b = -b = a-d

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allamraju (660)

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The sol for first question is given by rhd.For the 2nd one,

The sum of the divisors of n=p1k1.p2k2..... is [p1k1+1-1/p1-1][.........]

so,the ans for 25.34.52 is (63/1)(242/2)(124/4)=(31)(112)(7)(32)
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parveen1 (0)

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