Answer:
-4x^3 + 9x^2+35x -45
Step-by-step explanation:
The notation (f*g)(x) actually just means f(x)*g(x)
We just substitute what f(x) is and what g (x) is
(4x-9) * (-x^2 - 3x + 5 )
4x * -x^2 = -4x^3
4x * -3x = -12x
4x*5 = 20x
-4x^3 + -12x+20x
and
-9 * -x^2 = 9x^2
-9*-3x = 27x
-9*5 = -45
-4x^3 + -12x+20x + 9x^2 + 27x +-45
Now to put this in standard form, we have to order it with the terms with the highest exponents to the ones with the lowest exponents
-4x^3 + 9x^2 -12x+20x+27x -45
-12x+20x+27x
-12x+47x
35x
-4x^3 + 9x^2+35x -45
-45 goes last because it is equal to -45x^0
