Respuesta :
Let
x-------> the number
we know that
1) The expression "the product of [tex]6[/tex] and the square of a number", represent the equation
[tex]6x^{2}[/tex]
2) The expression " increased by [tex]5[/tex] times the number", represent the equation
[tex]+5x[/tex]
3) The complete expression "the product of [tex]6[/tex] and the square of a number is increased by [tex]5[/tex] times the number, the result is [tex]4[/tex] ", represent the equation
[tex]6x^{2}+5x=4[/tex] --------> [tex]6x^{2}+5x-4=0[/tex]
therefore
the answer is the option
[tex]6x^{2}+5x-4=0[/tex]