Question

Is 4x2
+ 3√x + 5 a polynomial?​

Answer 1

Step-by-step explanation:

We know that a polynomial is a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power (whole number).

(i) 3x3−2x+1 can be rewritten as:

3x3−2x+1x0

The powers of the variable x in the above equation are 3,1 and 0 which are whole numbers.

Therefore, 3x3−2x+1 is a polynomial.

(ii) x2+xx−2 can be rewritten as:

 

x2+x(x)21−2x0=x2+(x)21+1−2x0=x2+(x)23−2x0

The powers of the variable x in the above equation are 2,23 and 0, where 23 is not a whole number.

Therefore, x2+xx−2 is not a polynomial.

(iii) x4+2x can be rewritten as:

 

x4+2x1

The powers of the variable x in the above equation are 4 and 1