MCQ
$(x + 1)$ is a factor of the polynomial:
- A$x^3 + x^2 - x + 1$
- B$x^4 + x^3 + x^2 + 1$
- ✓$x^3 + x^2 + x + 1$
- D$x^4 + 3x^3 + 3x^2 + x + 1$
✓
Answer
Correct option: C.
$x^3 + x^2 + x + 1$
$ x^3 + x^2 + x + 1$
$= x^3 (x + 1) + 1 (x + 1)$
$= (x^3 + 1) (x + 1)$
$= x^3 (x + 1) + 1 (x + 1)$
$= (x^3 + 1) (x + 1)$
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
In a $\triangle A B C$, if $\angle A=\angle B+\angle C$, then $\triangle A B C$ is
→Which of the following is not true for the Parallelogram?
The volume of a right circular cone of height $24\ cm$ is $1232 \mathrm{~cm}^3$. Its curved surface area is:
→$ABCD$ is a parallelogram, $M$ is the mid-point of $BD$ and $BM$ bisects $\angle\text{B}.$ Then, $\angle\text{AMB}=$
→If $\left(a+\frac{1}{a}+2\right)^2=4$, then $a^2+\frac{1}{a^2}=$
→In fig if $DE = 8\ cm$, $\text{DE || BC}$ and $D$ is the mid-Point of $AB$, then the true statement is: 
→The figure formed by joining the mid-points of the sides of a quadrilateral $ABCD,$ taken in order, is a square only if:
→$2\sqrt{3}+\sqrt{3}$ is equal to:
→If $(4, 19)$ is a solution of the equation $y = ax + 3$, then $a =$
→The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is