im having major issues factoring this trinomial i know it is not prime so it has to have a solution i just cant figure the solution out the teacher said there is only one prime trinomial and that was number 4 he told me that one but the trinomial i need help on is
10d^2+17d-20
need it to be factored

Question

im having major issues factoring this trinomial i know it is not prime so it has to have a solution i just cant figure the solution out the teacher said there is only one prime trinomial and that was number 4 he told me that one but the trinomial i need help on is 
10d^2+17d-20
need it to be factored

anonymous · Answer

and if possible show work so i know what either i was doing wrong or just wasnt doing at all

anonymous · Answer

Have you tried the quadratic formula?

anonymous · Answer

we are not allowed to use quadratic formula we havent even learned that yet im a freshmen they dont teach that til junior year

anonymous · Answer

what are the factors of 20?

anonymous · Answer

doesn't quadratic give complex roots anyway?  I'm not sure there are integer solutions to this equation (but please prove me wrong...)

amistre64 · Answer

complete the square; its the long hand version of the quad formula

amistre64 · Answer

the quad doesnt 'give' complex roots, just shows when you got em :)

anonymous · Answer

Ug I dropped a (-) sign in my quad work ;)

anonymous · Answer

Yeah, it has two real distinct roots.

anonymous · Answer

so did the teacher make a mistake and theres really two prime trinomials

anonymous · Answer

no - I'm sorry, ignore me.

anonymous · Answer

It does not have integer solutions, but it has real solutions.

anonymous · Answer

no, What methods have you learned?

amistre64 · Answer

lol..... cant ignore you ;)

anonymous · Answer

just foil and thats all and i cant find the solution at all ive been working on this one problem for over an hour now

anonymous · Answer

We need a delete option :P

amistre64 · Answer

white out on the screen lol

amistre64 · Answer

10d^2+17d-20

(d+   /10)(d-   /10)

10(20) = 200

1,200; 2;100; 4;25; 5;40; 10; 20 ....doesnt seem to factor into integrers

anonymous · Answer

so are all those numbers the answer when its factored??

amistre64 · Answer

4;50; 8;25  thats the one 25 and 8

anonymous · Answer

It can't be factored into integers.

anonymous · Answer

so then what is it factored because we havent learned how to do these when they cant be factored into integers

amistre64 · Answer

(d+  /10)(d-  /10)

(d+ 25/10)(d- 8 /10)

(d+ 5/2)(d- 4/5)

(2d+5)(5d- 4)

anonymous · Answer

ok thank you