what is 3x^4+2x^3-5x^2-4 divided by x+2?

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VibeGodess VibeGodess

02-02-2016
Mathematics

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what is 3x^4+2x^3-5x^2-4 divided by x+2?

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Panoyin Panoyin · Answer 1 · 2016-02-02T18:48:35-05:00

3x³ - 4x² - 13x + 26
x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
- (3x⁴ + 6x³)
-4x³ - 5x²
- (-4x³ + 8x²)
-13x² + 0x
-(-13x² - 26x)
26x - 4
-(26x + 52)
-56

\(\frac{3x^{4} + 2x^{3} - 5x^{2} - 4}{x + 2} = 3x^{3} - 4x^{2} - 13x + 26 + \frac{-56}{x + 2}\)