a quadratic equation in standard form is written ax^2+bx+c=0, where a,b and c are real numbers and a is not zero. true or false

This statement is true.  For example:

[tex]4x^2 +12x + 6 = 0[/tex] is an example of a quadratic equation in standard form.  a, b, and c are all real numbers, while a ≠ 0.

[tex] x^{2} - 4=0[/tex] is another example.  a, b, and c are real numbers (b = 0), and a ≠ 0.

[tex]4i x^{2} +2x - 6=0[/tex] would not be an example of a quadratic equation in standard form.  a is not a real number.

[tex]3x-4=0[/tex] is not an example because a = 0.