Factor the expression w^2+18w+77

Step-by-step explanation:

Factor

w

2

+

18

w

+

77

using the AC method.

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Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

77

and whose sum is

18

.

7

,

11

Write the factored form using these integers.

(

w

+

7

)

(

w

+

11

)