Question

What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial?

A. 7
B. 98
C. 196
D. 49

Answer 1

We know that in a perfect square trinomial, the terms are:
a² + b² + 2ab
Here we have x = a. So b is:
14x = 2(x)(b)
b = 7
To complete the trinomial, we need b²
7² = 49
Option D is the answer