1. Let f(x)=x+5 and let g(x)=x^2+1. Let p(x)=g(x)+f(x) and let q(x)=g(x)-f(x). Find p(x) * q(x).
2. Consider the polynomials f(x)=4x^3+3x^2+2x+1 and g(x)=3-4x+5x^2-6x^3. Find c such that the polynomial f(x)+cg(x) has degree 2.
1. p(x)*q(x) = x^3 + 6x^2 + x + 5.
2. c = -5.
+249 
