Question

Each product is in the form ax2 + bx + c.

(x + 3)2 = x2 + 6x + 9

(x + 4)2 = x2 + 8x + 16

(x + 5)2 = x2 + 10x + 25

(x + 6)2 = x2 + 12x + 36

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 is the square of half of B

9 = √(6/2)
16 = √(8/2)
...

Answer 2

C: c is the square of half of b.

Explanation:

Each product is in the form ax2 + bx + c.

(x + 3)^2 = x^2 + 6x + 9

The value of b= 6 and c= 9

Half of b is 6/2=3 , 3^2= 9

(x + 4)^2 = x^2 + 8x + 16

The value of b= 8 and c= 16

Half of b is 4 , 4^2= 16

(x + 5)^2 = x^2 + 10x + 25

The value of b= 10 and c= 25

Half of b is 5 , 5^2= 25

(x + 6)^2 = x^2 + 12x + 36

The value of b= 12 and c= 36

Half of b is 6 , 6^2= 36

C is the square of half of b