The Silliest Sequence Ever!

Algebra Level 4

Let P ( x ) P(x) denote a monic 4 th 4^\text{th} degree polynomial such that P ( 1 ) = 1 , P ( 2 ) = 8 , P ( 3 ) = 27 , P ( 4 ) = 64 P(1) = 1, P(2) = 8, P(3) = 27, P(4) = 64 . Then what is the value of P ( 5 ) P(5) ?

135 119 125 139 100 149 115

View wiki
Jaiveer Shekhawat by jaiveer shekhawat , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Jaiveer Shekhawat
Feb 14, 2015

14 Helpful 0 Interesting 0 Brilliant 0 Confused

Not a level 5 question , just easy to observe that P ( x ) − x 3 = ( x − 1 ) ( x − 2 ) ( x − 3 ) ( x − 4 ) P(x) - x^3 = (x - 1)(x - 2)(x - 3)( x - 4)

U Z - 6 years, 3 months ago

I did the same thing

Vaibhav Prasad - 6 years, 3 months ago
Naman Kapoor
Feb 17, 2015

Well I went ahead to solve all the eqn to get a=-9,b=35,c=-50 and d=24

Putting x=5 and the rest values we get P(5)=149

2 Helpful 0 Interesting 0 Brilliant 0 Confused

I did it the hard way too

Olawale Olayemi - 6 years, 3 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...