Q:

Which equations have a leading coefficient of 3 and a constant term of -2? Check all that apply. 0=3x2+2x-2 0=-2-3x2+3 0=-3x+3x2-2 0=3x2+x+2 0=-1x-2+3x2

Which equations have a leading coefficient of 3 and a constant term of -2? Check all that apply. 0=3x2+2x-2 0=-2-3x2+3 0=-3x+3x2-2 0=3x2+x+2 0=-1x-2+3x2

Accepted Solution

A:
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; Which equations have a leading coefficient of 3 and a constant term of -2? Check all that apply. 0=3x2+2x-2 0=-2-3x2+3 0=-3x+3x2-2 0=3x2+x+2 0=-1x-2+3x2 65105d99c774e.webp