WILL FAN AND MEDAL!!!! Need help on Factoring polynomials....picture is attached

Question

sesca89 · Answer

attachment

anonymous · Answer

as sides of white part are s and (s+1) ... so .. s*(s+1)=30 ... solve this and we get s...

anonymous · Answer

then the sides of shaded part are s and 2... so its area would be s*2 .... and from above equation we would be able to get value of s....

anonymous · Answer

first equation will transform to $$s ^{2}+s-30=0$$

anonymous · Answer

$$s ^{2}+6s-5s-30=0$$

anonymous · Answer

factored it as 2 and (-5) because coefficent of x is (+1) and constant is (-30) ... so by looking at constant we know.. one factor should be positive and one negative.... but since coefficient of x is positive that means bigger number should be positive...

anonymous · Answer

understood?

anonymous · Answer

sorry factored as 6 and (-5) *

anonymous · Answer

and moreover... factors should give constant on multiplication and summing of factors give coefficient of x.