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.

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