Consider the polynomial function p(x)=x^3+x^2+hx+5, where h represents a real number. If x-2 is a factor of P​ , what is the value of h.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

You can find the constant of proportionality by finding the ratio of

Is a positive integer raised to a negative power always positive