Study the products shown. Is there a pattern?

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

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

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

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

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

Which of the following describes the relationship between b and c?

c is 1.5 times that of b.

c is double b.

c is the square of half of b.

c is the square of b.

Question

Mathematics

Danica Oliver

12 October, 16:10

Study the products shown. Is there a pattern?

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

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

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

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

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

Which of the following describes the relationship between b and c?

c is 1.5 times that of b.

c is double b.

c is the square of half of b.

c is the square of b.

+5

Answers (1)

Know the Answer?

Ruben Cochran · Answer 1

C is the square of half of b.

This is evident in all products,

(6/2) ² = 3²

= 9

(8/2) ² = 4²

= 16

(10/2) ² = 5²

= 25

(12/2) ² = 6²

= 36

(b/2) ² = c