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Find r(x)=f(x) g(x) where f(x)=42x²-6x-20 and g(x)=3x²+x²-12x+16?

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Final answer:

To find r(x), we need to multiply f(x) and g(x). Substitute the functions, multiply the terms, and simplify the expression.

Step-by-step explanation:

To find r(x), we need to multiply f(x) and g(x). Let's substitute the functions:

f(x) = 42x² - 6x - 20

g(x) = 3x² + x² - 12x + 16

Now, multiply the terms:

r(x) = f(x) * g(x) = (42x² - 6x - 20) * (3x² + x² - 12x + 16)

You can simplify the expression by multiplying each term by each term. After multiplying, combine like terms and simplify further if needed.

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