find the value of c that will make this expression a perfect square trinominal x^2+10x+c

Question

anonymous · Answer

To make an expression a perfect square trinomial you add half of the b-term squared to it in this case the b-term is 10. so half of it would be 5 and if you square it you get 25. so c is 25.

anonymous · Answer

the b-term is from the expression $$ax^2+bx+c$$
as you can see the b-term is the coefficient on the x which is what i was referring to above

anonymous · Answer

so if 25 is c you can rewrite your expression as:$$(x+5)^2$$

anonymous · Answer

if you expand that you should get your original expression

anonymous · Answer

basically what you are doing when you add half of the b-term squared is making  the expression equal to$$x^2+2ax+a^2$$

anonymous · Answer

where a=c and 2a is equal to the b-term

anonymous · Answer

as you can see a^2 must be half of the b-term squared