Question

What is the quotient of d − 2 √ d 4 − 5 d 3 + d + 17

Answer 1

Answer: $d^3 - 3d^2-5$

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 $d^4-5 d^3 + d + 17$

Multiply (d-2) by $d^3$  and subtract the dividend by the resultant.

We get $-3d^3+d$

Step 2: Multiply (d-2) by $-3d^2$  and subtract the remaining dividend by the resultant.

We get  $-5d^2+17$

Step 3 : Multiply (d-2) by $-5$  and subtract the remaining dividend by the resultant.

We get  $7$

Since, after getting 7 it is not possible further division,

Hence, Remainder = 7,

Quotient = sum of all expression by that we multiply (d-2) = $d^3 - 3d^2-5$