Question Find the degree of the polynomial equation $2 x^{5} - 6 x^{4} = 0$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the polynomial equation $2x^{5} - 6x^{4} = 0$ .
2. We are asked to find the degree of the polynomial.

STEP 2

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 3

Examine the given polynomial and identify the terms along with their respective powers of $x$ .

STEP 4

The polynomial has two terms: $2x^{5}$ and $-6x^{4}$ . The powers of $x$ in these terms are 5 and 4, respectively.

STEP 5

Compare the powers of $x$ to determine the highest power.

STEP 6

Since 5 is greater than 4, the term $2x^{5}$ has the highest power of $x$ in the polynomial.

STEP 7

Conclude that the degree of the polynomial $2x^{5} - 6x^{4}$ is 5.
The degree of the polynomial is 5.

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Question Find the degree of the polynomial equation $2 x^{5} - 6 x^{4} = 0$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the polynomial equation $2x^{5} - 6x^{4} = 0$ .
2. We are asked to find the degree of the polynomial.

STEP 2

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 3

Examine the given polynomial and identify the terms along with their respective powers of $x$ .

STEP 4

The polynomial has two terms: $2x^{5}$ and $-6x^{4}$ . The powers of $x$ in these terms are 5 and 4, respectively.

STEP 5

Compare the powers of $x$ to determine the highest power.

STEP 6

Since 5 is greater than 4, the term $2x^{5}$ has the highest power of $x$ in the polynomial.

STEP 7

Conclude that the degree of the polynomial $2x^{5} - 6x^{4}$ is 5.
The degree of the polynomial is 5.

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Question Find the degree of the polynomial equation 2x5−6x4=02 x^{5} - 6 x^{4} = 02x5−6x4=0.

Studdy Solution

STEP 1

Assumptions1. We are given the polynomial equation 2x5−6x4=02x^{5} - 6x^{4} = 02x5−6x4=0.2. We are asked to find the degree of the polynomial.

STEP 2

The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 3

Examine the given polynomial and identify the terms along with their respective powers of xxx.

STEP 4

The polynomial has two terms: 2x52x^{5}2x5 and −6x4-6x^{4}−6x4. The powers of xxx in these terms are 5 and 4, respectively.

STEP 5

Compare the powers of xxx to determine the highest power.

STEP 6

Since 5 is greater than 4, the term 2x52x^{5}2x5 has the highest power of xxx in the polynomial.

STEP 7

Conclude that the degree of the polynomial 2x5−6x42x^{5} - 6x^{4}2x5−6x4 is 5.The degree of the polynomial is 5.

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Question Find the degree of the polynomial equation $2 x^{5} - 6 x^{4} = 0$ .

Assumptions
1. We are given the polynomial equation $2x^{5} - 6x^{4} = 0$ .
2. We are asked to find the degree of the polynomial.

Examine the given polynomial and identify the terms along with their respective powers of $x$ .

The polynomial has two terms: $2x^{5}$ and $-6x^{4}$ . The powers of $x$ in these terms are 5 and 4, respectively.

Compare the powers of $x$ to determine the highest power.

Since 5 is greater than 4, the term $2x^{5}$ has the highest power of $x$ in the polynomial.

Conclude that the degree of the polynomial $2x^{5} - 6x^{4}$ is 5.
The degree of the polynomial is 5.