1Thnx guyz
And Pritish sir... plz tell how did u got it !!
1) If f(x) = x2 - x3
find f -1(x)
2) The remainder when the polynomial x+x3+x9+x27+x81+x243 is divided by x2 -1
3) If | x | + x + y =10
x + | y | - y =12
find x + y
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6 Answers
622) The remainder when the polynomial x+x3+x9+x27+x81+x243 is divided by x2 -1
x+x3+x9+x27+x81+x243 =g(x)(x2-1) + ax+b
Now x=1,
6=a+b
x=-1
-6=-a+b
so a=6 and b=0
Hence the remainder will be 6x
623) If | x | + x + y =10
x + | y | - y =12
find x + y
Here we look at 4 different quadrants...
in the first quadrant, |x|=x and |y|=y
so in the 1st quadrant.. 2x+y=10
x=12
so x+y=-2
Now can you try the other 3 quadrants?