Is 4m^3x^2 a polynomial

A polynomial can have:

constants (like 3, −20, or ½)

variables (like x and y)

exponents (like the 2 in y2), but only 0, 1, 2, 3, etc. are allowed

that can be combined using addition, subtraction, multiplication and division  except  not division by a variable (so something like 2/x is right out)

So, a polynomial can have constants, variables and exponents,

but never division by a variable.

Also they can have one or more terms, but not an infinite number of terms.

Step-by-step explanation:

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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