f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write final answer in factored form.

Question

f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 What is f(x)-g(x)? Please show me step by step (all of your work) so I can get an understanding.

Answer 1

Simply subtract the two expressions:

4x^3+2x^2+2x=2x(2x^2+x+1) No further factorisation is possible.