Note: 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.
1 answer:
Answer:
The answer is 4x³ + 2x² + 2x = 2x(2x² + x + 1)
Step-by-step explanation:
∵ f(x) = 9x³ + 2x² - 5x + 4
∵ g(x) = 5x³ - 7x + 4
∴ f(x) - g(x) = (9x³ + 2x² - 5x + 4) - (5x³ + 0 - 7x + 4)
= (9x³ - 5x³) + (2x² - 0) + (-5x + 7x) + (4 - 4)
= 4x³ + 2x² + 2x = 2x(2x² + x + 1)
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