Question

Which algebraic expression is a polynomial? 3m2n-2m/n+1/n

Answer 1

Answer:

d) $7mn+\frac{3m}{2}+\frac{5n}{4}$

Step-by-step explanation:

Which algebraic expression is a polynomial?

$a)3m^2n-\frac{2m}{n}+\frac{1}{n} \\b)\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5\\c)\frac{4m^3}{n^2}-3mn^5+\sqrt{8}\\d)7mn+\frac{3m}{2}+\frac{5n}{4}$

Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:

i) Variables of a polynomial must not have negative exponent.

ii) Variables of a polynomial must not have fractional exponent.

iii) Dividing by an exponent is not allowed

iv) Exponent radicals are not allowed.

a) $3m^2n-\frac{2m}{n}+\frac{1}{n}$ is not a polynomial because dividing by an exponent is not allowed.

b) $\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5$, is not a polynomial because exponent radicals are not allowed (√m)

c) $\frac{4m^3}{n^2}-3mn^5+\sqrt{8}$ is not a polynomial because dividing by an exponent is not allowed.

d) $7mn+\frac{3m}{2}+\frac{5n}{4}$ is a polynomial