Respuesta :

Louli
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 :)



raphealnwobi

The value of c to form a perfect square trinomial is 25.

Trinomial

A trinomial is a polynomial that has only three terms. A perfect square trinomial is a trinomial that can be written as the square of a binomial.

Given the polynomial:

x² + 10x + c

The value of c to form a square trinomial is equal to the square of half of the coefficient of x.

c = (10/2)² = 25

The value of c to form a perfect square trinomial is 25.

Find out more on Trinomial at: https://brainly.com/question/1538726

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