Maths 3u question?????? (1 Viewer)

[bongoli]

I dunno, this is a weird question for a 2marker; not sure if i'm missing something tho

It works if i sub n for number 1,2,3 etc but not sure how to factorise the n out lol thanks

 

[seanieg89]

One approach is to write the expression as a polynomial q(t) and check by substitution that:

q(0)=0
q'(0)=0.

This implies that 0 is a double root and hence t^2 divides the original expression.

Alternatively, you can directly calculate (using binomial expansion) that the two lowest order terms of q(t) vanish, which gives the same result.