which equations have a leading coefficient of 3 and a constant term of -2? check all that apply. 0 = 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

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

Answer

Explanation:

Step1: Recall polynomial form

A polynomial in standard form is $ax^{2}+bx + c=0$, where $a$ is the leading - coefficient and $c$ is the constant term.

Step2: Analyze each equation

Equation 1: $0 = 3x^{2}+2x - 2$

Here, $a = 3$ and $c=-2$.

Equation 2: $0=-2 - 3x^{2}+3$

Rewrite it as $0=-3x^{2}+1$. The leading - coefficient $a=-3$ and the constant term $c = 1$.

Equation 3: $0=-3x + 3x^{2}-2$

Rewrite it in standard form $0 = 3x^{2}-3x - 2$. Here, $a = 3$ and $c=-2$.

Equation 4: $0 = 3x^{2}+x + 2$

Here, $a = 3$ but $c = 2$.

Equation 5: $0=-x - 2+3x^{2}$

Rewrite it in standard form $0 = 3x^{2}-x - 2$. Here, $a = 3$ and $c=-2$.

Answer:

$0 = 3x^{2}+2x - 2$, $0=-3x + 3x^{2}-2$, $0=-x - 2+3x^{2}$