Respuesta :
The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?
A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
Learn more about the quadratic equation here;
https://brainly.com/question/1214333
