23xyz y is the quotient for both the divisors the same ?
P(x) be a polynomial of degree at the most 5 which leaves the reaminders -1 and 1 upon division by (x-1)3 and (x+1)3
1)....find the no of real roots of p(X)=0
2)....the max value of y=P''(x) can be obtained at x
3).....the sum of pairwise product of all roots(real and complex) of P(x)=0
-
UP 0 DOWN 0 0 11
11 Answers
3P(x)=a1x5+a2x4+....+a5
P(1)=p(ω)=p(ω2)=1
-3=3a5+3a3
similarly u know dat P(-1)=P(-w)=P(-w2)=1
use this to find the coefficients.
19kaustab,,,why are u posting last year's fiitjee aits questions over here! you can get the answers from the solutions provided by fiitjee !
please don't mind this interference !
1well buddy u know wat kinda a soln they hav.........
sample this
solution
Q1....A
Q2....C......................
finish....that kinda soln they hav
their sol booklets dont have solns ...in most qs they write they correct option number and even if they do hav they are not proper.....thats why im asking here
21hey why dont u check it in soln booklet...........i rem a good soln on this q was given in the booklet
1eragon i dont think that ...that soln given in booklet is good
3kaustab if u give the hints on the soln buk,we may try to explain u if we got nething from the hint.
@xyz machi yes da u are rite,din see the qn correctly.
341This is from a Hong Kong National Olympiad. These guys are simply flicking the problem from such sources tweaking them a little and then confusing students