How can I find the qoutient of 4z2 + 7z2 + 15 divided by 4z2 - 5?

As per my interpretation we have to find the quotient of the polynomial 4z4+7z2+15 divided by 4z2-5;
So dividing the polynomial 4z4+7z2+15 by 4z2-5 using long division method we have;
             z2+34z2-5)4z4+7z2+15             4z4-5z2                     12z2+15                       12z2-15                                  30
So we get the quotient as z2+3 and remainder as 30.

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