The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2
1 answer:
This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us
which of course simplifies to
You might be interested in
The value of x is 8.5.
Solution:
U is the mid-point of TV.
TU = 6
UV = 2x - 11
TU = UV
6 = 2x - 11
Add 11 on both sides.
6 + 11 = 2x - 11 + 11
17 = 2x
Divide by 2 on both sides.
8.5 = x
Switch the sides.
x = 8.5
Option B is the correct answer.