Step-by-step explanation:
To check options:
a: x + 4y
Here, the coefficient of x = 1 and the coefficient of y = 4
b: [tex]x^3[/tex]
Here, the coefficient of [tex]x^3[/tex] = 1
c: [tex]x^4[/tex] + 3[tex]y^2[/tex] + 2y
Here, the coefficient of [tex]x^4[/tex] = 1, the coefficient of [tex]y^2[/tex] = 4 and the coefficient of y = 2
d: [tex]y^5[/tex] + 13x + 12
Here, the coefficient of [tex]y^5[/tex] = 1, the coefficient of x = 13 and
constant term = 12
Thus, the "option d) [tex]y^5[/tex] + 13x + 12" is a trinomial with a constant term.