Respuesta :

To solve this problem, we use synthetic division.

8x^4 + 6x^2 - 7 | 2x^2

-8x^4 4x^2 + 3

0 6x^2 - 7

-6x^2

0 -7

Now, we use the division algorithm to find the equivalence.

Therefore, the division is equal to

[tex]\frac{8x^4+6x^2-7}{2x^2}=4x^2+3-\frac{7}{2x^2}[/tex]

Where 4x^2 + 3 is the quotient, -7 is the remaining part and 2x^2 is the divisor.

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