PLEASE HELP 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.
Accepted Solution
A:
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