Question

factor the expression 2x^2 + 9x +10

Answer 1

given the form ax^2 +bx +c; we can see if it factors into integers by:

factors of a*c that add up to b

2(10) = 20

1,20; 1+20 = 21
2,10; 2+10 = 12
4,5 ; 4+5 = 9 thatll do it

since we multiplied thru by "a"; we have to divide it back out

(x +4/2)(x+5/2) ; simplify and if its still a fraction place the bottom in front
(x+2) (2x+5)