What is the proof of what? Whether this equation is true or not depends upon what a and b are. Do you mean prove that theremustbe numbers a and b that satisfy that? For this particular problem, the best way to prove it would be tofindthe values of a and b. Or do you mean: "prove that for any "? Again, the best way to prove that would be to solve for a and b, in terms of p, q, r, and t.

I doubt that was what you were told- it's not true. You probably were told that the numerator must beI was also told that the polynomial in the numerator should be 1 degree lower than the one in the denominator - why?at leastone degree lower than the denominator. That's because if the degree of the numerator were greater than or equal to the degree of the denominator you could do a "long division" giving a polynomial plus a fraction in which the numeratordoeshave degree less than the denominator.

I'm not sure what you want. isAlso, I was wondering.

why does that become

Again, I'm looking for a proof explanation so that I can remember it and derive it if I forget.

Thanks!defined(for real numbers) as the positive real number, y, such that . Because -y (and no other number) will also have that property, , from , it follows that or .