Answer: [tex]d^3 - 3d^2-5[/tex]
Step-by-step explanation:
For finding the quotient of the given division,
In the long division method, we will follow the following steps.
Step 1 : Here the divisor is d-2 and dividend is [tex]d^4-5 d^3 + d + 17[/tex]
Multiply (d-2) by [tex]d^3[/tex] and subtract the dividend by the resultant.
We get [tex]-3d^3+d[/tex]
Step 2: Multiply (d-2) by [tex]-3d^2[/tex] and subtract the remaining dividend by the resultant.
We get [tex]-5d^2+17[/tex]
Step 3 : Multiply (d-2) by [tex]-5[/tex] and subtract the remaining dividend by the resultant.
We get [tex]7[/tex]
Since, after getting 7 it is not possible further division,
Hence, Remainder = 7,
Quotient = sum of all expression by that we multiply (d-2) = [tex]d^3 - 3d^2-5[/tex]
