Question

Which constant should be added to the binomial x^2-14x so that it becomes a perfect square trinomial?

A. 49
B. 36
C. 16
D. 25

Answer 1

A

Explanation:

x² - 14x

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 14x

x² +2(- 7)x + (- 7)²

= x² - 14x + 49

= (x - 7)² ← perfect square

Answer 2

A)49. This will give the equation x^2-14+49 and this factorised is: (x-7)^2