Latest Campus Aptitude Question SOLUTION: x + 3x^2 + 5x^3 + 7x^4+ . . . . . +99x^49 is divided by (x-1) .then what will be the remainder?

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x + 3x^2 + 5x^3 + 7x^4+ . . . . . +99x^49 is divided by (x-1) .then what will be the remainder?

Asked In Campus tushar (9 years ago)

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NUTTU HARIPRASAD  (9 years ago)

i am using synthesis division
for example we will take x + 3x^2 + 5x^3 + 7x^4 is devided by x-1
the factors of above equation 7 5 3 1

step 1:
Bring down the leading coefficient (1), multiply it with a (1), and
3. write that product (7·1 ) in the second column:
1 7 5 3 1
7
------------------
7 12
stpe 2:

Bring down the leading coefficient (1), multiply it with a (2), and
3. write that product (12· 1) in the second column:
1 7 5 3 1
7 12
------------------
7 12 15

STEP 3:

Bring down the leading coefficient (1), multiply it with a (2), and
3. write that product (15· 1) in the second column:
1 7 5 3 1
7 12 15
------------------
7 12 15 16
SO THE REMINDER IS 16

FOLLOW THIS PROCEDURE TO THIS PROBLEM
THE ABOVE EQUATION FACTORS ARE ODD NUMBERS UPTO 99
THE SUM OF ODD NUMBERS FORMULA IS N^2
WE HAVE 50 ODD NUMEBRS FROM 1 TO 99
50^2 =2500
THE REMINDER OF ABOVE PROBLEMI IS : 2500

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