Let p(x)=x2–5x+a and q(x)=x2–3x+b, where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.

Let p(x)=x2–5x+a and q(x)=x2–3x+b, where a and b are positive int

1.	Let p(x)=x2–5x+a and q(x)=x2–3x+b, where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.
Answer» Let $p (x) = x^{2} - 5 x + a$ and $q (x) = x^{2} - 3 x + b$ , where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.