Consider functions $ f $ and $ g $.

$ f(x) = 11x^3 - 3x^2 $

$ g(x) = 7x^4 + 9x^3 $

Which expression is equal to $ f(x) \times g(x) $?

1) $ 77x^7 - 36x^5 + 27x^4 - 27x^2 $

2) $ 77x^7 + 36x^5 + 27x^4 - 27x^2 $

3) $ 77x^7 - 36x^5 - 27x^4 + 27x^2 $

4) $ 77x^7 + 36x^5 - 27x^4 + 27x^2 $

Question

19-01-2025
Mathematics

High School

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Consider functions $ f $ and $ g $.

$ f(x) = 11x^3 - 3x^2 $

$ g(x) = 7x^4 + 9x^3 $

Which expression is equal to $ f(x) \times g(x) $?

1) $ 77x^7 - 36x^5 + 27x^4 - 27x^2 $

2) $ 77x^7 + 36x^5 + 27x^4 - 27x^2 $

3) $ 77x^7 - 36x^5 - 27x^4 + 27x^2 $

4) $ 77x^7 + 36x^5 - 27x^4 + 27x^2 $

Answer :

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KyleEvans KyleEvans · Answer 1 · 2024-11-17T10:34:16-05:00

Final answer:

The expression equal to f(x) * g(x) is 77x⁷ - 36x⁵ + 27x⁴ - 27x². Therefore, option 1 is correct.

Explanation:

To find the expression equal to f(x) * g(x), we need to multiply the two given functions. Let's perform the multiplication:

f(x) * g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

To multiply these polynomial expressions, we need to distribute each term of the first function to each term of the second function. After distributing and simplifying, we get:

f(x) * g(x) = 77x⁷ - 36x⁵ + 27x⁴ - 27x²

So, the expression equal to f(x) * g(x) is 77x⁷ - 36x⁵ + 27x⁴ - 27x².

Consider functions \( f \) and \( g \).\( f(x) = 11x^3 - 3x^2 \)\( g(x) = 7x^4 + 9x^3 \)Which expression is equal to \( f(x) \times g(x) \)?1) \( 77x^7 - 36x^5 + 27x^4 - 27x^2 \)2) \( 77x^7 + 36x^5 + 27x^4 - 27x^2 \)3) \( 77x^7 - 36x^5 - 27x^4 + 27x^2 \)4) \( 77x^7 + 36x^5 - 27x^4 + 27x^2 \)

Answer :

Final answer:

Explanation:

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