Question

Find the value of c that makes x2 + 6x + c a perfect square. Then write the trinomial as a perfect square.

Answer 1

value of c=9

perfect square trinomial: (x+3)^2

Answer 2

Hi there!

`\large\boxed{c = 9, (x +3)^2}`

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