Hi there!
[tex]\large\boxed{c = 9, (x +3)^2}[/tex]
To find the value of c, we can say:
ax² + bx + c
(b/2)² = c
Therefore:
(6/2)² = 3² = 9
Rewrite the trinomial:
x² + 6x + 9
To write as a binomial, take the square root of c:
√9 = 3
Thus:
(x + 3)² = x² + 6x + 9
