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Chapter 7: Q33. (page 461)

Write the given polynomial in standard form.

1鈭�x4

Short Answer

Expert verified

The given expression can be best described as the 鈭�x4+1.

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, 1−x4 in standard form

Observe the polynomial, 1鈭�x4.

Terms of the polynomial are1 and 鈭�x4.

The term having highest power of xis 鈭�x4.

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

That is equal to 鈭�x4+1.

This is the required standard form of the polynomial.

Therefore the standard form of the polynomial is 鈭�x4+1.

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Most popular questions from this chapter

ENERGY Matter can be converted completely into energy by using the formula at the left. Energy is measured in joules, mass in kilograms, and the speed of light is about 300 million meters per second.

a. Complete the calculations to convert 3 kilograms of gasoline completely into energy.

b. What happens to the energy if the amount of gasoline is doubled?

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

2c+2

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

xy3x2y4=x3y7

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x鈭�3x2+5x鈭�6

Simplify the expression

m4m2
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