MCQ
$(x+1)$ is a factor of $x^n+1$ only if
- ✓$n$ is an odd integer
- B$n$ is an even integer
- C$n$ is a negative integer
- D$n$ is a positive integer
✓
Answer
Correct option: A.
$n$ is an odd integer
a
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
→→
Three cubes of metal with edges $3\ cm, 4\ cm$ and $5\ cm$ respectively are melted to form a single cube. The lateral surface area of the new cube formed is:
→The equation $x = 7$ in two variables can be written as:
→If the area of an isosceles right triangle is $8cm^2$, what is the perimeter of the triangle?
→Into how many chapters was the famous treatise, 'The Elements' divided by Euclid?
In the given figure, O is the centre of a circle and $\angle\text{AOB}=140^\circ.$ Then, $\angle\text{ACB}=?$ 
→If $\text{x}=2+\sqrt{3}$ then $\Big(\text{x}+\frac{1}{\text{x}}\Big)$ equals:
→A rational number equivalent to $\frac{7}{19}$ is:
→$80$ bulbs are selected at random from a lot and their lifetime is hours is recorded as under.
One bulb is selected at random from the lot. What is the probability that its life is $1150?$
→|
Lifetime (in hours)
|
$300$
|
$500$
|
$700$
|
$900$
|
$1100$
|
|
Frequency
|
$10$
|
$12$
|
$23$
|
$25$
|
$10$
|
In Fig. $ABC$ is a triangle in which $\angle\text{B}=2\angle\text{C}.$ $D$ is a point on side $BC$ such that $AD$ bisects $\angle\text{BAC}$ and $\text{AB}=\text{CD}.$ Be is the bisector of $\angle\text{B}.$ The measure of $\angle\text{BAC}$ is:
→