Question

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

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

if you expand that you should get your original expression

Answer 5

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

Answer 6

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

Answer 7

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