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
Sindrei [870]
3 years ago
15

Multiply the polynomial x (3x-1)(2x+5) also what is the degree of the polynomial

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

Answer:

Result after multiplication of polynomial is: 6x^3+13x^2-5x

Degree of polynomial = 3

Step-by-step explanation:

The given polynomials are:

x(3x-1)(2x+5)

In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.

So, multiplying the polynomials in round brackets first

=x(3x-1)(2x+5)\\= x\{3x(2x+5)-1(2x+5)\}\\=x\{6x^2+15x-2x-5\}\\=x(6x^2+13x-5)

Now multiplying with x

= 6x^3+13x^2-5x

Degree of a polynomial is the highest exponent of variable in the polynomial.

In the acquired result, the highest exponent of x is 3 so the degree is 3.

Hence,

Result after multiplication of polynomial is: 6x^3+13x^2-5x

Degree of polynomial = 3

You might be interested in
Dave was playing checkers with a friend. The ratio of games Dave won was 10:7. If Dave won 80 games, how many games did his frie
Mila [183]
The answer is 56! How you do this, is you take 80, and you multiply it by 7. Then you divide that answer by 10. Then you have your answer! I’m really bad at math but I do know how to do that!
5 0
3 years ago
Which of the following functions best represents the graph?
marshall27 [118]

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

From the graph, the x-intercepts are;

x=-2

x=-1

x=2

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

f(-2)=0,f(-1)=0,f(2)=0

According to the factor theorem, if (x-a) is a factor of f(x), then f(a)=0

This implies that;

(x+2),(x+1),(x-2) are factors of the required function.

Hence; f(x)=(x+1)(x-2)(x+2)

We expand using difference of two squares to obtain;

f(x)=(x+1)(x^2-4)

We expand using the distributive property to get;

f(x)=x^3-4x+x^2-4

Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

6 0
3 years ago
Read 2 more answers
Evaluate the expression for the given variable <br>-4p+1 when p=2​
Rama09 [41]
-4p+1 = -4(2)+1 = -8+1 = -7
8 0
3 years ago
What is the least common multiple of 2, 6, 8, and 12?
Assoli18 [71]
24 because it’s the lowest multiple of 12 that’s also in 2,6 and 8
7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (6, 3) and has a slope of -2?
tekilochka [14]

We know the equation of a line is y=mx+b. We know the slope (m) is -2 and all we need is the intercept (b).

Since we know one point, we can plug in 6 for x and 3 for y (along with -2 for m) in our equation and then solve for b.

3= -2*6 + b

3= -12 + b

15 = b

Since we now know the intercept we can now write our equation:

y= -2x + 15

3 0
3 years ago
Other questions:
  • Determine if f(x)= x + 12/ x is even, odd, or neither
    10·1 answer
  • PLEASE HELP ME ASAP!!
    7·1 answer
  • The price of 25 tickets is $2705 dollars. Find the price of 8 tickets​
    11·2 answers
  • Sony takes four breathes every 10 seconds during yoga at this rate about how many breaths Sony take on two minutes of yoga
    5·2 answers
  • Which of the following statements is true about completing a square? A. When completing the square, subtract the square of half
    5·2 answers
  • PLEASE HELP ME ON THE BOTTOM QUESTION PLEASE DONT PLAY AROUND
    8·2 answers
  • Find the total surface and each pyramid. Round to the sea<br> SHOW YOUR WORK!
    15·1 answer
  • Help me please i need this answered fast
    5·2 answers
  • Two cars travel the same distance. Car 1 travels at 50 mph and car 2 at 65 mph. If it takes car 1 one more hour to travel than c
    8·1 answer
  • Flights 104 and 217 are both approaching Norfolk International Airport from opposite directions at the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!