Suppose a and b are constants such that when the product of the polynomials 4x^2+ax+2 and 10x^3+bx^2+5x-1 is 40x^5+94x^4+82x^3+43x^2+3x-2. Find a+b.
Oh goodness! Let x=1. We have (6+a)(14+b)=260. So 84+14a+6b+ab=260. I will leave the rest to you. Just plug in 2 for x and solve.