Question

timed problem
score: 1/10 current time: 14.2
what is the product of the roots?
$3x^2 - 2x - 7 = 0$
answer
$-\frac{2}{3}$ $\frac{2}{3}$ $-\frac{7}{3}$ $\frac{7}{3}$

Explanation:

Step1: Recall quadratic root product rule

For quadratic $ax^2+bx+c=0$, product is $\frac{c}{a}$

Step2: Identify coefficients

$a=3$, $c=-7$

Step3: Calculate product

$\text{Product} = \frac{-7}{3}$

Answer:

$-\frac{7}{3}$ (corresponding to the third option)