Question - Solving Polynomial Subtraction
mathsolving polynomial subtractionsubtracting polynomialspolynomial simplificationfunction subtraction
Solution:
To solve the question provided in the image, you need to subtract function g(x) from function f(x) and then simplify the result. I'll provide you with the steps for doing so.Given functions:f(x) = 2x + 4g(x) = -5x + 5(f - g)(x) means we need to subtract g(x) from f(x):(f - g)(x) = f(x) - g(x)(f - g)(x) = (2x + 4) - (-5x + 5)Now, distribute the negative sign inside the brackets:(f - g)(x) = 2x + 4 + 5x - 5Combine like terms:(f - g)(x) = 2x + 5x + 4 - 5(f - g)(x) = 7x - 1The answer is the polynomial 7x - 1 in its simplest form.
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