# Math Help - Quadratic Expression?

Can someone help me find the constants a, b and c in the following

n^2≡an(n+1)+b(n+1)+c

Also what topic are these kind of questions under?

2. Expand $an(n+1)+b(n+1)+c$ to get $an^2+(a+b)n+(b+c)$, now equate this to the polynomial on the LHS. First solve $a$, then $b$, then $c$.

3. so u get that next
n^2≡
and then do you make it equate to zero so it becomes a quadratic ?

how would you go by solving for b and c ?

4. Now you see $a$ should equal 1 to get the right coefficients for $n^2$. Then you should find the other coefficients so the rest of the polynomial equals 0.