6th Grade Math Textbook, Fundamentals

Lesson 14-3 for exercise sets. &KDSWHU 

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You can also add polynomials algebraically, either vertically or

horizontally. When finding the sum of two polynomials, write each

polynomial in standard form before combining like terms.

What is the sum of x^2  2 xand 4x 3 x^2?

Write each polynomial in

standard form.

Find the sum of both polynomials

using either the horizontal or

vertical method.

Method 1 Compute Horizontally

x^2  2 x 3 x^2  4 x

(x^2  3 x^2 )( 2 x 4 x)

[(1 3)x^2 ] [( 2 4)x]

[2]x^2 (2)x

 2 x^2  2 x

(3x^2  9) mi

(10  x^2 ) mi

(4  2 x^2 ) mi

A

B

CD

x^2 ( 2 x)

( 3 x^2 ) 4 x

 2 x^2  2 x

Find the sum.

1. 
   
   
   
   2. and and
   
   
   
   

Find the sum of the polynomials. Use the horizontal method or the vertical method.

3. 3 x 4 x^2 and 2  4 x 4.xx^2 and  3 x 5 x^2  2


4. 2 x3 and 4  5 x^2 and x 4 x^2 6. 2 x^2  3 x10 and  4 x 13  3 x^2

7.Discuss and Write Jackie is driving from point A

to point D. What expression represents the distance

from point Ato point D? Write the expression in

simplest form. Explain your steps.

• Use the Commutative and
  Associative Properties to group
  like terms.


• Use the Distributive Property
  to combine like terms.


• Simplify.

Method 2 Compute Vertically

• Align like terms in columns.


• Add the terms in each column
  separately by adding their
  coefficients.

So the sum of x^2  2 xand 4x 3 x^2 is  2 x^2  2 x.

x^2  2 x already in standard form

4 x 3 x^2  3 x^2  4 x in standard form