CPM Homework Banner

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

4-29.

Consider the polynomial .  

  1. If you want to determine the factors of , is a reasonable guess for one of the factors? Explain.

    Is a factor of the last term ()?

  2. How can you determine if is a factor? Can you think of more than one way?

  3. 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 the on top and multiply with the and 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 into gives . 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 into gives . 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.