Question

qual o valor de m+n para que (k2+mk) x (k2-k) + nk2 seja igual k4-3k3+7k2?

Answer 1

 (k2+mk) x (k2-k) + nk2 = k4-3k3+7k2?
k^4 - k^3 + mk^3 - mk^2 + nk^2=  k4 - 3k3 + 7k2

k^4 + (- 1 + m)k^3 + (- m + n)k^2 =  k4 - 3k3 + 7k2

- 1 + m = 3 ==> m = 3+1 ==> m = 4

- m + n == 7 n = 7 + m ==> n = 7+ 4==> n = 11