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

The final answer is 2x (2x²+x+1)

Step-by-step explanation:

f (x) = 9x³+2x²-5x+4 and g (x) = 5x³-7x+4.

We have to find f (x) - g (x).

To find f (x) - g (x) simply subtract g (x) from f (x)

(9x³+2x²-5x+4) - (5x³-7x+4)

Keep one thing in your mind that when when we subtract the expressions, signs of second bracket also gets multiplied by the negative sign which is outside the bracket.

Open the brackets for solution.

9x³+2x²-5x+4 - 5x³+7x-4

Now combine the like terms:

(9x³ - 5x³) + 2x² + (7x-5x) + (4-4)

4x³+2x²+2x

Now take out the common factor:

2x (2x²+x+1)

Thus the final answer is 2x (2x²+x+1) ...