Question

Find the value of c that makes the trinomial a perfect square.
x²+26x+c​

Answer 1

c = 169

Explanation:

To make the trinomial a perfect square

add ( half the coefficient of the x- term )², that is

x² + 2(13)x + 13²

= x² + 26x + 169

= (x + 13)² ← a perfect square