Question - Multiplication of Two Functions
Solution:
The question asks for the multiplication of two functions f(x) and g(x), where:f(x) = 2x + 5g(x) = x^2 - 5xTo find the product (f * g)(x), you multiply each term in f(x) by each term in g(x):(f * g)(x) = (2x + 5)(x^2 - 5x)Now expand the product:= 2x * x^2 + 2x * (-5x) + 5 * x^2 + 5 * (-5x)= 2x^3 - 10x^2 + 5x^2 - 25x= 2x^3 - (10x^2 - 5x^2) - 25x= 2x^3 - 5x^2 - 25xTherefore, the result is:(f * g)(x) = 2x^3 - 5x^2 - 25xThis polynomial is already in its simplest form.
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