What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial? A. 7 B. 98 C. 196 D. 49

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asked May 4, 2017 98.9k views

1 Answer

Paulbullard · Answer 1 · 2017-05-10T07:10:37+0000

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

What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial? A. 7 B. 98 C. 196 D. 49

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