Indicate whether the expression defines a polynomial function. P(x) = -x^{2}+3x+3 polynomial or not a polynomial If it is a polynomial function, identify the following. (If it is not a polynomial function, enter DNE for all three answers.)

melodykap

melodykap

Answered question

2021-08-08

Indicate whether the expression defines a polynomial function.
P(x)=x2+3x+3
polynomial or not a polynomial
If it is a polynomial function, identify the following. (If it is not a polynomial function, enter DNE for all three answers.)
(a) Identify the leading coefficient.
(b) Identify the constant term.
(c) State the degree.

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-08-09Added 106 answers

Step 1
Definition used:
"A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponents of variables.
The polynomial equation is of the form
cnxn+cc1xn1++c2x2+c1x+c0
Here, cn is the leading coefficient, n is the highest degree and the constant is c0."
Step 2
a)
The given function is P(x)=x2+3x+3.
By the definition of polynomial, the above function is quadratic polynomial.
The leading coefficient is -1.
Step 3
b)
By the definition of polynomial equation, the constant term is 3.
Step 4
c)
By the definition of polynomial equation, the degree is 2.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-15Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?