1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timurjin [86]
3 years ago
12

Determine if ƒ(x) = 3x2 – 2x3 – x – 9 is a polynomial function. If it is, state the degree and the leading coefficient. If not,

state why.
Mathematics
2 answers:
kogti [31]3 years ago
7 0

Answer:  The given function is a polynomial function with leading coefficient -2.

Step-by-step explanation:  We are given to determine whether the following function is a polynomial function :

f(x)=3x^2-2x^3-x-9.

If yes, we are to state the degree and the leading coefficient. If not, we are to state the reason.

 We know that

any polynomial function is of the form :

p(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+~~.~~.~~.~~+a_1x+a_0,

with degree n.

Son according to this definition, the given function f(x) is a polynomial function with degree 3.

The standard form of the given polynomial function is:

f(x)=-2x^3+3x^2-x-9.

Since the leading coefficient is the coefficient of the highest power of x, so the leading coefficient is -2.

Thus, the given function is a polynomial function with leading coefficient -2.

adelina 88 [10]3 years ago
3 0
This is indeed a polymomial, it's just not in the correct order.  The term with the highest exponent goes first, dictating the degree of the whole entire polynomial.  In descending order, the polynomial is written correctly as -2x^3+3x^2-x-9.  It is a third degree polynomial with a leading coefficient of -2. 
You might be interested in
What are the zeroes of f(x) = x2 + 5x + 6?
Vera_Pavlovna [14]

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2)  = 0

Now, x + 3 = 0   and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

3 0
2 years ago
Need help finding slope, x-intercept, and y-intercept
butalik [34]

Step-by-step explanation:

count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2

x intercept is on the graph, 2.5

y intercept is also on the graph, -5

8 0
2 years ago
Read 2 more answers
Which of the following is an equivalent to the expression shown? Hint: factor! 7x−56−28x Group of answer choices 7(x-4-4x) -7(x-
Anestetic [448]

Answer:i think its the second one

Step-by-step explanation:

took the test

3 0
3 years ago
You are trapped in a dark cave with three indistinguishable exists on the walls. One of the exits takes you 3 hours to travel an
bija089 [108]

Answer:

6 HOURS

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME I WILL MARK YOU!!!!!!!!!
katrin2010 [14]

its C michael jogs 20 miles in 10 days.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 28/225 to a decimal using long division
    15·1 answer
  • Help meeeeee plzz Think about how to use the interactive tool to form an expression equivalent to –x + ( –3x) + 12 – 9. An equiv
    8·2 answers
  • Please help me I will give Brainlest
    14·1 answer
  • 2. How much heat is needed to warm .052 kg of gold from 30°C to 120°C
    12·1 answer
  • Nora biked 8 miles north from her school to a park. Nora's brother rode a bus 15 miles
    13·2 answers
  • A printer prints 36 photos in 8 minutes. How many minutes does it take to print 45 photos? You can use a ratio table to help you
    9·2 answers
  • 2|3x - 2|= 14 how would you solve this absolute value equation?
    15·2 answers
  • Write the numerical expression as a power. (4 x4 x 4 = )
    5·2 answers
  • How much does he receive if he is given 1.5% commission?
    6·1 answer
  • Use the order of operations to simplify 3/4 + 8(2.5 - 0.5)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!