Answer
(d)
Work Step by Step
The conditions for the synthetic division are:
1) Divisor is always a polynomial of degree $1$.
2) Leading coefficient of the polynomial (divisor) is $1$.
Now let us check option $(d)$.
$x^4-5x^3+3x^2-9x+13$ is divided by $x^2+5$.
Here the divisor has polynomial of degree $2$, which does not satisfy the condition 1 above. All the three other choices satisfy both conditions 1 and 2.
Hence, the correct answer is option $(d)$.
