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alexandr1967 [171]
2 years ago
10

Divide x4+2x2−24 by x+2

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
7 0

\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{  x+2  } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8  \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\  _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}&   \\  _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }

\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}

sweet [91]2 years ago
7 0

Answer:

8/x+2

Step-by-step explanation:

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<u>Proof:</u>

<em>2</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em> </em><em>when </em><em>x </em><em>=</em><em> </em><em>4</em>

<em>2</em><em> </em><em>(</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>

<em>8</em><em> </em><em>-</em><em> </em><em>1</em><em>8</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>

<em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em>..........hence proven

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- When you replace X with 4, you can clearly see that the equation is equal to -10.

sorry I couldn't answer accurately, but I hope this helps

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