### Home > PC3 > Chapter 4 > Lesson 4.1.2 > Problem 4-29

Consider the polynomial .

If you want to determine the factors of

, isa reasonable guess for one of the factors? Explain.Is

a factor of the last term ( )? How can you determine if

is a factor? Can you think of more than one way?Is

a factor of?Set up the area model with the divisor on the left of the box. Input only the first term of the dividend.

Since

divides into,times, write theon top and multiplywith theand fill in the area model with the product. Add an expression to

in order to get the needed . Add it to the right of .Dividing

intogives . Add the at the top. Then multiply and and fill the answer in the area model. Add an expression to

in order to get the needed . Add it to the right of . Dividing

intogives . Add the at the top. Then multiply and and fill the answer in the area model. Add an expression to

in order to get the needed . Add it to the right of . This is the remainder.