Question

Each product is in the form ax2 + bx + c. Which of the following describes the relationship between b and c?

a.) c is 1.5 times that of b.
b.)c is double b.
c.) c is the square of half of b.
d.)c is the square of b.

Answer 1

C

Explanation:

c is the square of half of b.

Answer 2

The correct answer is c. c is the square of half of b.

Explanation:

In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.

(x + 4)^2

(x + 4)(x + 4)

x^2 + 4x + 4x + 16

x^2 + 8x + 16

You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.