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Elis [28]
3 years ago
8

Divide using long division.

Mathematics
1 answer:
marshall27 [118]3 years ago
5 0

Answer:

The quotient = 2x² - 8x + 9 with remainder 5x + 24

Step-by-step explanation:

∵\frac{4x^{4}-14x^{3}-14x^{2}+110x-84}{2x^{2}+x-12}=2x^{2}+\frac{-16x^{3}+10x^{2}+110x-84}{2x^{2}+x-12 }

\frac{-16x^{3}+10x^{2}+110x-84}{2x^{2}+x-12}=-8x+\frac{18x^{2}+14x-84}{2x^{2}+x-12}

\frac{18x^{2}+14x-84}{2x^{2}+x-12}=9+\frac{5x+24}{2x^{2}+x-12}

The quotient = 2x² - 8x + 9 with remainder 5x + 24

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