Question

Is X+ 7/x is a polynomial? give reason.​

Answer 1

First let's try to simplify it in a polynomial form.

$\rm \implies x+\dfrac{7}{x} = 0$

Multiply both the sides of the equation by x

$\rm \implies xx+\dfrac{7}{x}x = 0x$

$\rm \implies x^2+7 = 0$

The equation is in the form of $\rm ax^2+bx+c=0 \ where \ a\neq 0.$

$\rm And \ for \ an \ equation \ to \ be \ a \ polynomial, it \ needs \ to \ be$

$\rm \ in \ the \ form \ of \ ax^2+bx+c=0 \ where \ a\neq 0$

Also, the degree of the polynomial, or the highest power of the polynomial should be 2, and this condition also satisfies it.

Therefore, x+7/x is a polynomial.