Question

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 your final answer in factored form.

Answer 1

To find f(x) - g(x), we need to subtract g(x) from f(x).

f(x) - g(x) = (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
f(x) - g(x) = 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
f(x) - g(x) = 9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4
f(x) - g(x) = 4x^3 + 2x^2 + 2x

Therefore, f(x) - g(x) = 2x(2x^2 + x + 1)