Determine whether the function is a polynomial function R(x) = 8x + 6 or not a polynomial

Joni Kenny

Joni Kenny

Answered question

2021-08-02

Determine whether the function is a polynomial function.
R(x)=8x+6
polynomial not a polynomial
If it is a polynomial function, identify the leading coefficient, the constant term, and the degree. (If it is not a polynomial function, enter DNE for all three answers.)
(a) leading coefficient
(b) constant term
(c) the degree

Answer & Explanation

pattererX

pattererX

Skilled2021-08-03Added 95 answers

Step 1
Consider the function,
R(x)=8x+6
A polynomial is an expression that can be written in the form
anxn++a2x2+a1x1+a0
where each real number ai is called coefficient and a0 is called a constant.
Step 2
Therefore, the given function R(x)=8x+6 is polynomial.
The highest power of x is 1, so the degree is 1. The leading term is the term with the highest power i.e., 8x, and its coefficient is called the leading coefficient i.e., 8.
The number that is not multiplied by a variable is called a constant. i.e., 6
Therefore,
a. leading coefficient: 8
b. constant term:6
c. the degree:1
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-06Added 2605 answers

Answer is given below (on video)

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