Question

(x4 – x² – 30) ÷ (x² + 5)

Answer 1

To divide (x^4 - x^2 - 30) by (x^2 + 5), we can use long division. The steps are as follows:

x² - 1

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x² + 5 | x⁴ - x² - 30

- (x⁴ + 5x²)

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-6x² - 30

-(-6x² - 30)

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0

Therefore, the quotient is x² - 1 and there is no remainder.

So, (x^4 - x^2 - 30) ÷ (x^2 + 5) = x^2 - 1.