Question

PLEASE HELP

Answer 1

Answer:

= 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