Chapter 7: Q35. (page 461)

Write the given polynomial in standard form.
$3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$

Short Answer

Expert verified

The given expression can be best described as the $3 x^{5} + x^{3} - 2 x^{2} + 6 x - 2$ .

Step by step solution

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.

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.

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

Observe the polynomial, $3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$ .

Terms of the polynomial are $3 x^{5}, - 2, 6 x, - 2 x^{2}$ and $x^{3}$ .

The term having highest power of $x$ is $3 x^{5}$ .

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

That is equal to $3 x^{5} + x^{3} - 2 x^{2} + 6 x - 2$ .

This is the required standard form of the polynomial.

Therefore the standard form of the polynomial is $3 x^{5} + x^{3} - 2 x^{2} + 6 x - 2$ .

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Write the given polynomial in standard form.
$3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$

Short Answer

Step by step solution

Step 1. Define a polynomial.

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

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

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

Short Answer

Step by step solution

Step 1. Define a polynomial.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Decision Maths

Discrete Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Write the given polynomial in standard form.
$3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$