Question

The equation 5x2 + 30x + 15 = 0 is being rewritten in vertex form. Fill in the missing step.

Answer 1

Answer:

D:5(x2 + 6x ___) + 15 ___ = 0

Step-by-step explanation:

Parabola in Vertex Form

To express the equation of a parabola in vertex form we must complete squares. The equation is given as

$5x^2 + 30x + 15 = 0$

The first step is to factor 5 and leave space to complete the third term in the parentheses, along with a space outside it to compensate. This should look like

$5(x^2 + 6x\text{........)} + 15....... = 0$

Those spaces need to be filled out like shown in the step 2. Thus the correct option is D