enter your answer and show all the steps that you use to solve this problem in the space provided. 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.

= 2x²( 2x+ 1) + 2x

or

= 2x (2x² + x + 1)

Step-by-step explanation:

Given in the question two functions,

f ( x ) = 9x³ + 2x² − 5x + 4

g ( x ) = 5x³ − 7 x + 4  

To find,

f ( x ) − g ( x )

  Substitute each functions    

= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )

  Remove parentheses                        

= 9x³ + 2x² − 5x + 4 -  5x³ + 7 x - 4

  Combine like terms and add them up

= 4x³ +  2x² + 2x

 Factorise  

= 2x²( 2x+ 1) + 2x

  or

= 2x (2x² + x + 1)

So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)

This can't be further factorise because answer will be in complex numbers

69.64%

step-by-step explanation: