Factor completely the given polynomial x(x + 20) + 11(x + 20) x(x + 20) + 11(x + 20)=

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1. Answer:

   (x + 20)(x + 11)

   Step-by-step explanation:

   x(x + 20) + 11(x + 20) =

   Factor out the common factor of x + 20.

   = (x + 20)(x + 11)

   The binomials make it look complicated, but this is simpler than you think.

   Look at this simpler, but similar, example.

   Factor xy + 4y

   xy + 4y =

   You see clearly that y is a common factor, so you factor out y, and you get

   = y(x + 4)

   In your problem, you have

   x(x + 20) + 11(x + 20) =

   where (x + 20) is the common factor.

   You factor out the common factor, (x + 20). What is left? x + 11 as a factor, so you get

   (x + 20)(x + 11)

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