Let f(x) = 27x⁵ - 33x⁴ - 21x³ and g(x) = 3x². Find f(x)/g(x)?

Solution:

Given:

f(x) = 27x⁵ - 33x⁴ - 21x³ and g(x) = 3x²

Then,

f(x)/g(x) = (27x⁵ - 33x⁴ - 21x³)/(3x²)

By taking out common in the numerator we get,

= [3x³ (9x² - 11x - 7)] / (3x²)

Reducing the fraction to the lowest term by cancelling the greatest common factor we get,

= x(9x² - 11x - 7)

Now, we have to apply Multiplicative Distribution Law,

= x × 9x² - x × 11x - x × 7

= 9x³ - 11x² - 7x

Therefore,

f(x)/g(x) is (9x³ - 11x² - 7x).

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Let f(x) = 27x⁵ - 33x⁴ - 21x³ and g(x) = 3x². Find f(x)/g(x)?

Summary:

The value of f(x)/g(x) is (9x³ - 11x² - 7x) if f(x) = 27x⁵ - 33x⁴ - 21x³ and g(x) = 3x².