SOLUTION: Find the constant term that should be added to make the following expression a perfect-square trinomial. x2 + 5x

Algebra.Com
Question 49408: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 + 5x

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
To make this binomial into a perfect square trinomial, simply add the square of half the coefficient of the x-term. So you would add:
The trinomial becomes:
If you now factor this, you can see that it is a perfect square.
Check using FOIL.
Simplify to:

RELATED QUESTIONS

Find the constant term that should be added to make the following expression a... (answered by checkley71)
Find the constant term that should be added to make the following expression a... (answered by stanbon)
Find the constant term that should be added to make the following expression a... (answered by jim_thompson5910,stanbon)
Find the constant term that should be added to make the following expression a... (answered by Fombitz)
Find the constant term that should be added to make the following expression a... (answered by josmiceli)
Find the constant term that should be added to make the following expression a... (answered by bucky)
Find the constant term that should be added to make the following expression a... (answered by josmiceli)
Find the constant term that should be added to make the following expression a... (answered by josgarithmetic)
Find the constant term that should be added to make the following expression a... (answered by Tatiana_Stebko)