Which trinomials are perfect square trinomials? select each correct answer. a) m^2+10m+100 b) m^2+10m+25 c) m^2+24m+144 d) m^2+36m+60

A perfect square trinomial can be factored into the form

the expansion is

so if we say that a=m then

basically, if you take the coefient (number part) of the 2mb term and divide it by 2 and square it, you should get the last term

(coefient is the number part, like in 4m, 4 is the coefient)

A.

10m is the 2mb term
10 is the coefient, 10/2=5, 5^2=25, 25≠100, so not a perfect square trinomial

B.

as from before, 10 is coefient, 10/2=5, 5^2=25, 25=25, yep, this is perfect square trinomial

C.

24m is the 2mb term, 24 is coefient, 24/2=12, 12^2=144, 144=144, yep this is a perfect square trinomail

D.

36m is the 2mb term, 36 is the coefient, 36/2=18, 18^2=324, 324≠60, so not a perfect square trinomial

answers are B and C