Question

Please help ASAP

Answer 1

Answer:

• Any value of k

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

Two real roots possible with non-negative discriminant:

• D ≥ 0

As D = b² - 4ac, we get the following inequality

• k² - 4(3)(-8) ≥ 0
• k² + 96 ≥ 0
• k² ≥ - 96

This is true for any value of k

• k ∈ (- ∞, + ∞)