factorization, math homework help

factorization, math homework help

Page 345 #48.)

t2+30t +200 a=1, c=200 ac = 200.                            Factor pairs of 200 are

                                                                                  1, 200 2, 100 4, 50 5, 40 8, 25 10, 20

                                                                                  We see that 10+20 =30, replace 30t with 10t +20 t.

t2 +10t +20t+200                                                       Factor by grouping.

t(t+10) +20(t+10)                                                      The common binomial factor is (t+10)

(t+10)(t+20)                                                               It is easy to check the factoring result is correct by multiplying back                                                                                            together. 

**Answer the following Question with the problem/information above**

Please show and explain how we can verify your factorization is correct for #48.