Question

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

Answer 1

d

Explanation:

Answer 2

d)
`7mn+(3m)/(2)+(5n)/(4)`

Explanation:

Which algebraic expression is a polynomial?

`a)3m^2n-(2m)/(n)+(1)/(n) \\b)(2mn)/(5)-(√(m) )/(4) +4m^5\\c)(4m^3)/(n^2)-3mn^5+√(8)\\d)7mn+(3m)/(2)+(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-(2m)/(n)+(1)/(n)` is not a polynomial because dividing by an exponent is not allowed.

b)
`(2mn)/(5)-(√(m) )/(4) +4m^5`, is not a polynomial because exponent radicals are not allowed (√m)

c)
`(4m^3)/(n^2)-3mn^5+√(8)` is not a polynomial because dividing by an exponent is not allowed.

d)
`7mn+(3m)/(2)+(5n)/(4)` is a polynomial