Question

find the term that should be added to the expression to form a perfect square trinomial. Write the perfect square trinomial in factored form
x^2+5x

Answer 1

In general

to make x^2 + bx a perfect square, you add on (b/2)^2 = (b^2)/4

Answer 2

That will give you x^2 + bx + (b^2)/4 which will factor to (x+b/2)^2

Answer 3

Mr jim that is so confusing to me can you break this down some so i understand it

Answer 4

b = ??? in this case

Answer 5

yes please

Answer 6

what is the value of b in this case

Answer 7

would that be five

Answer 8

so (b/2)^2 = (5/2)^2 = 25/4

Answer 9

which means this is the number you add on to make x^2 + 5x a perfect square

Answer 10

so the entire formula would be X^2+5x+25/4

Answer 11

yes that's a perfect square

Answer 12

which factors to....?

Answer 13

i know that sense five is a general number that is in the whole equation

Answer 14

x^2 + bx + (b^2)/4 factors to (x+b/2)^2

b = 5,

so

x^2+5x+25/4 factors to (x+5/2)^2

Answer 15

ok that makes sense Mr Thompson thank you so much for your time and expertise

Answer 16

sure thing