Question

t^2+15t+50

Factor the trinomial.
I am not sure how to do this please help.

Answer 1

what are two numbers a and b so that:

a*b=50

a+b=15

?

Answer 2

I got 5t^2(3t+10) and that was incorrect

Answer 3

no that would multiply to 15t^3+50t^2

Answer 4

so two numbers that multiply to 50 and add to 15 are 5 and 10. So we can factor the trinomial:

(x+5)(x+10)

Answer 5

does this make sense or should I explain why I did this?

Answer 6

well that answer was not correct

Answer 7

(t+5)(t+10) is correct

Answer 8

ok I was putting x sry

Answer 9

my fault i wrote x too

Answer 10

t^2+15t+50
You must find a pair of factors of 50 that sum to 15
5 and 10
Now replace the 15t with 5t + 10t
t^2+5t + 10t +50 now pair off and factorise...
(t^2+5t) + (10t +50) giving ...
t(t + 5) + 10(t + 5)

answer = (t + 5)(t + 10)