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Chapter 7: Q14. (page 463)

Find each sum or difference.

x+5+x2鈭�3x+7

Short Answer

Expert verified

The sum ofx+5+x2鈭�3x+7 is x2鈭�2x+12.

Step by step solution

01

Step 1. Write steps to add polynomials.

Following are the steps to add polynomials.

1. Group like terms.

2. Combine like terms by using horizontal or vertical format.

02

Step 2. Group like terms.

Group like terms in the given expression.

x2+x鈭�3x+5+7

03

Step 3. Combine like terms.

Combine like terms in expression in horizontal format.

x2鈭�2x+12

Therefore, the sum ofx+5+x2鈭�3x+7 is x2鈭�2x+12.

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Most popular questions from this chapter

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Mickey has 180feet of fencing that she wants to use to enclose a play area for her puppy. She will use her house as one of the sides of the region.

  1. If she makes the play areaxfeet deep as shown in the figure, write a polynomial in standard form to represent the area of the region.
  2. How many square feet of area will the puppy have to play in if Mickey makes it 40 feet deep?

MULTIPLE CHOICE Antonia is carpeting two of the rooms in her house. The dimensions are shown. What is the total area to be carpeted?

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PACKAGING For a commercial art class, Aiko must design a new container for individually wrapped pieces of candy. The shape that she chose is a cylinder. The formula for the volume of a cylinder is V=蟺r2h.

a. The radius that Aiko would like to use is 2p3, and the height is 4p3. Write a monomial that represents the volume of her container.

b. Make a table of values for five possible radius widths and heights if the volume is to remain the same.

c. What is the volume of Aiko鈥檚 container if the height is doubled?
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