‘ 5×32+2y+1 is a polynomial in one or more variable(s)’.State true or false.

# ‘ $5{x}^{\frac{3}{2}}+2y+1$ is a polynomial in one or more variable(s)’.State true or false.

1. A
True
2. B
False

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### Solution:

The given polynomial is $5{x}^{\frac{3}{2}}+2y+1$.
We know that a polynomial is an expression that is made up of variables and constants in which the exponents of the variables are only positive integers and not fractions.
Number of variables in $5{x}^{\frac{3}{2}}+2y+1$ is 2, i.e., x and y.
The powers of x and y in $5{x}^{\frac{3}{2}}+2{y}^{1}+1$ are respectively.
Here, power $\frac{3}{2}$ is a fraction.
So, $5{x}^{\frac{3}{2}}+2y+1$ is not a polynomial.
Therefore, the given statement is false as $5{x}^{\frac{3}{2}}+2y+1$ is not a polynomial.
Hence, option 2 is  correct.

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