Question

What are the quotient and remainder of (3x^4+ 2x² - 6x + 1) + (x + 1)?

Answer 1

3x^3 - 3x^2 + x - 1

x + 1 | 3x^4 + 2x^2 - 6x + 1

- (3x^4 + 3x^3)

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-x^3 - 6x + 1

- (-x^3 - x^2)

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-5x^2 - 6x + 1

-(-5x^2 - 5x)

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-x + 1

Therefore, the quotient is 3x^3 - 3x^2 + x - 1, and the remainder is -x + 1.

Answer 2

The quotient is 3x^3 + 2x and the remainder is 0.

Explanation:

Quotient: 3x³ + 2x

Remainder: -5