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Given that f (x)=x²-5x - 36 and g(x)= x -9, find f(x) - g(x) and express the

result as a polynomial in simplest form.
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Final answer:

To find f(x) - g(x), subtract function g(x) from function f(x) and simplify the expression to obtain the resulting polynomial.


Step-by-step explanation:

To find f(x) - g(x), we subtract the function g(x) from the function f(x). So, we have:

f(x) - g(x) = (x² - 5x - 36) - (x - 9)

Simplifying the expression, we get:

f(x) - g(x) = x² - 5x - 36 - x + 9

f(x) - g(x) = x² - 6x - 27


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