Question

is 2x^2 +3 -5/x a polynomial

Answer 1

Step-by-step explanation:

YES IT IS A POLYNOMIAL

PLEASE MARK IT AS BRAINIEST ANSWER

Answer 2

Given:

$\mathbf{Expression\ P(x)= 2x^{2}+3-\dfrac{5}{x}}$

To Find:

Is above expression polynomial ?

Solution:

Again write the given expression:

$\mathbf{Expression\ P(x)= 2x^{2}+3-\dfrac{5}{x}}$

Above can also be written as:

$\mathbf{Expression\ P(x)= 2x^{2}+3x^{0}-5x^{-1}}$

We see first term 2x²:

Exponent of variable = +2

We see second term $\mathbf{3x^{0}}$:

Exponent of variable = 0

We see third term $\mathbf{5x^{-1}}$:

Exponent of variable = -1

Condition of expression to be polynomial is that every exponent of variable should to be positive:

Here we see that exponent of third term is negative:

So given expression is not polynomial.