Question

Find the value of c for which the expression is a​ perfect-square trinomial. Then factor the​ perfect-square trinomial.

X^2-10X+C

Answer 1

This means c=25. The factored form is
`(x-5)^2`.

Explanation:

A perfect square is a trinomial that factors into the form
`(x+a)^2`. To find the value of C to finish the perfect square divide -10 by 2 and square it.

-10/2 = 5

5*5=25

This means c=25. The factored form is
`(x-5)^2`.