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Chapter 7: Q35. (page 461)

Write the given polynomial in standard form.

3x5鈭�2+6x鈭�2x2+x3

Short Answer

Expert verified

The given expression can be best described as the 3x5+x3鈭�2x2+6x鈭�2.

Step by step solution

01

Step 1. Define a polynomial.

A polynomial is defined as an expression which is composed of variables, constants and non-negative exponents that are combined by using mathematical operations.

02

Step 2. Define the meaning of standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

03

Step 3. Write the polynomial, 3x5−2+6x−2x2+x3 in standard form

Observe the polynomial, 3x5鈭�2+6x鈭�2x2+x3.

Terms of the polynomial are3x5,鈥�鈭�2,鈥�6x,鈥�鈭�2x2 and x3.

The term having highest power ofx is 3x5.

Arrange the terms of the polynomial in descending power of x.

That is equal to 3x5+x3鈭�2x2+6x鈭�2.

This is the required standard form of the polynomial.

Therefore the standard form of the polynomial is 3x5+x3鈭�2x2+6x鈭�2.

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Most popular questions from this chapter

Choose a term from the Key Vocabulary list above that best describes the given expression.

x+2x鈭�5=x2鈭�3x鈭�10

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Explain your reasoning.

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The formula for the surface area of a cube isSA=6s2where SAis the surface area and s is the length of any side.

a. Express the surface area of the cube as a monomial.

b. What is the surface area of the cube if a=3and b=4?

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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?
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