delawdermia27
04.02.2020 •
Mathematics
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.
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Ответ:
= 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
Ответ:
answer:
your answer is: c. 196 7/8 in^3.