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.
<h3>What is a quadratic equation?</h3>
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,
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
Here,(<em>a,b, c</em>) 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,
![0 = 3x^2 +2x - 2](https://tex.z-dn.net/?f=0%20%3D%203x%5E2%20%2B2x%20-%202)
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,
![0 = -2 - 3x^2 +3](https://tex.z-dn.net/?f=0%20%3D%20-2%20-%203x%5E2%20%2B3)
Rearrange the equation as,
![0 = -2 - 3x^2 +3\\0=-3x^2+1](https://tex.z-dn.net/?f=0%20%3D%20-2%20-%203x%5E2%20%2B3%5C%5C0%3D-3x%5E2%2B1)
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,
![0 = 3x^2 +x +2](https://tex.z-dn.net/?f=0%20%3D%203x%5E2%20%2Bx%20%2B2)
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,
![0 = -1x - 2 +3x^2](https://tex.z-dn.net/?f=0%20%3D%20-1x%20-%202%20%2B3x%5E2)
Rearrange the equation as,
![0=3x^2-1x-2](https://tex.z-dn.net/?f=0%3D3x%5E2-1x-2)
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;
brainly.com/question/1214333