Question

f(x)=5x^3+ax^2+5x−3 g(x)=3x^3−2x^2+2x−3 h(x)=2x^3−5x^2+4x−2 If f(x)+g(x)−h(x)=6x^3−5x^2+3x−4, what is the value of a?

Answer 1

2. (2x^2) - (2x^2) gives (0x^2), but subtracting another -5x^2 brings a square term back in. Therefore, (-5x^2) for the middle term.