Hence the product of the functions in standard form is - 16x² + 38x - 21
Given the functions
f(x) = 2x - 3
g(x) = 7 - 8x
The product of the functions is expressed as
f(x) g(x) = (2x - 3)(7 -8x)
f(x) g(x) = 14x - 16x² - 21 + 24x
Rearrange in standard form
f(x) g(x) = -16x² + 24x + 14x - 21
f(x) g(x) = -16x² + 38x - 21
Hence the product of the functions in standard form is - 16x² + 38x - 21
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