Question

One of the factors of $x^7+x{y}^6$ is :

• A. $x^2+y^2$
• B. x
• C. either A or B
• D. neither A nor B

Answer 1

The correct option is C either A or B

$x^7+x{y}^6=x(x^6+y^6)$
$=x\left[\right(x^2{)}^3+\left(y^2{)}^3\right]$
$=x(x^2+y^2)(x^4-x^2{y}^2+y^4)$