Question

The algebra tiles represent the perfect square trinomial x2 + 10x + c. What is the value of c?

Answer 1

Answer:

25

Step-by-step explanation:

Answer 2

Answer:
c = 25

Explanation:
Before we begin, remember that:
(x+a)² = x² + 2ax + a²

Now, for the given we have:
x² + 10x + c

Equate this given with the general form mentioned in the above rule:
x² + 10x + c = x² + 2ax + a²

By comparison, we would fine that:
2a = 10 ............> I
c = a² ...............> II

From I:
2a = 10
a = 5

Substitute with the value of "a" in II to get c as follows:
c = a²
c = (5)²
c = 25

Based on the above, the complete expression would be:
x² + 10x + 25 and would be factored as (x+5)² which is a perfect square

Hope this helps :)