Question

sign chart from factored polynomial (level 2)
score: 1/3 penalty: 1 off
question
identify the real roots of the function below then use those (real) roots to fill in the sign table below.
$f(x) = -(3x + 6)(2x - 1)$
identify all real roots. use commas to separate.
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Set each factor to zero

For \(3x + 6 = 0\), solve for \(x\):
\(3x = -6\)
\(x = \frac{-6}{3} = -2\)

Step2: Set the other factor to zero

For \(2x - 1 = 0\), solve for \(x\):
\(2x = 1\)
\(x = \frac{1}{2}\)

Answer:

-2, 1/2