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State th leading coefficien t of each polync mial in one variable. 6x^4-4x-8 Degree=2 ng Coefficient=3 Degree=4 Leading Coefficient=1 Degree=6 Leading Coefficient=3 Degree=4 Leading Coefficient=6

Question

State th leading coefficien t of each polync mial in one variable. 6x^4-4x-8 Degree=2 ng Coefficient=3 Degree=4 Leading Coefficient=1 Degree=6 Leading Coefficient=3 Degree=4 Leading Coefficient=6

State th leading coefficien t of each polync mial in one variable.
6x^4-4x-8
Degree=2
ng Coefficient=3
Degree=4
Leading Coefficient=1
Degree=6
Leading Coefficient=3
Degree=4
Leading Coefficient=6

Solution

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JanessaMaster · Tutor for 5 years

Answer

### Degree = 4<br />### Leading Coefficient = 6

Explain

## Step 1: Identify the terms of the polynomial<br />### The given polynomial is $6x^4 - 4x - 8$. It has three terms: $6x^4$, $-4x$, and $-8$.<br /><br />## Step 2: Determine the degree of each term<br />### The degree of a term is the exponent of the variable. The term $6x^4$ has a degree of 4. The term $-4x$ (which can be written as $-4x^1$) has a degree of 1. The term $-8$ (which can be written as $-8x^0$) has a degree of 0.<br /><br />## Step 3: Find the highest degree<br />### Comparing the degrees of each term (4, 1, and 0), the highest degree is 4.<br /><br />## Step 4: Identify the leading coefficient<br />### The leading coefficient is the coefficient of the term with the highest degree. The term with the highest degree is $6x^4$, and its coefficient is 6.
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