Answer:
(2x - 3)(2x + 3)
Step-by-step explanation:
Given
4x² - 9
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
4x² = (2x)² ⇒ a = 2x
9 = 3² ⇒ b = 3, thus
4x² - 9 = (2x - 3)(2x + 3) ← in factored form
To construct a perpendicular bisector you set the compass to a span which is greater than half the length of the given line. Then setting the point at one end of the line construct an arc passing through the line . Then repeat this process from the other side of the line keeping the compass at the same setting.
Now draw the perpendicular bisector through the 2 intersections of the arcs. That's it.
The answer is A. -3x2 - 6x - 7
