polynomial reminder
Sun, 2008-03-16 23:35
Find the reminder when
x + x^3 + x^9 + x^27 + x^81 + x^243 is divided by (x^2 –1 )
a. 6x b. 4x c. 6x + 1 d. 4x + 1
Sun, 2008-03-16 23:52
#2
(x^2 –1 ) = 0 => x = 1
(x^2 –1 ) = 0 => x = 1 or -1. . if we put these values in the given equation then the value 'll be 6 or -6
and thats only possible if the reminder is 6x (bcz other options wont give 6 or -6 )
so thats the answer
Tue, 2008-03-18 10:04
#3
Find the reminder when: x +
Find the reminder when: x + x^3 + x^9 + x^27 + x^81 + x^243 is divided by (x^2 –1 )
a. 6x b. 4x c. 6x + 1 d. 4x + 1
Solution: Let the remainder be ax + b Putting x = 1, we get: a + b = 6 Putting x = - 1, we get: - a + b = - 6 On solving, we get: a = 6 and b = 0 Hence the remainder is 6x. Thank You Ravi Raja
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n/a
Let the above be a(x^2 –1) + bx + c
Now putting x =1 and –1
We get 6 = b + c and –6 = -b + c
So b= 6 and c = 0
Ans 6x