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

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)