MCQ
$(x + 1)$ is a factor of the polynomial.
- A$x^3+x^2-x+1$
- ✓$x^3+x^2+x+1$
- C$x^4+3 x^3+3 x^2+x+1$
- D$x^4+x^3-x^2+1$
✓
Answer
Correct option: B.
$x^3+x^2+x+1$
$x^3+x^2+x+1=x^3(x+1)+1(x+3)=x^3+27~9 x^2+27 x=x^3+9 x^2+27 x+27$
therefore, the coefficient of $x$, in the expansion of $(x+3)^3$ is $27$ .
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