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
Solution
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Janessa
Master ยท Tutor for 5 years
Answer
### Degree = 4### Leading Coefficient = 6
Explanation
## Step 1: Identify the terms of the polynomial### The given polynomial is
. It has three terms:
,
, and
.## Step 2: Determine the degree of each term### The degree of a term is the exponent of the variable. The term
has a degree of 4. The term
(which can be written as
) has a degree of 1. The term
(which can be written as
) has a degree of 0.## Step 3: Find the highest degree### Comparing the degrees of each term (4, 1, and 0), the highest degree is 4.## Step 4: Identify the leading coefficient### The leading coefficient is the coefficient of the term with the highest degree. The term with the highest degree is
, and its coefficient is 6.