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
alina1380 [7]
3 years ago
11

If (1)=0, what are all the roots of the function f(x)=x3+3x2-x-3?use the remainder theorem

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0
If f(1)=0, then by the remainder theorem \dfrac{f(x)}{x-1} has a remainder of 0, which means f(x) is divisible by x-1. In fact,

x^3+3x^2-x-3=x^2(x+3)-(x+3)=(x^2-1)(x+3)=(x-1)(x+1)(x+3)

So we know 1 is a root, and the other two roots are -1 and -3.
You might be interested in
Methods for graphing lunear equations
Flura [38]

Answer:

Step-by-step explanation:

The first method is by plotting points and then dreaming a line through the points. The second is by using the y intercept and slope the third is applying transformation to the identity function. F(x)=x(x)=x

6 0
3 years ago
Camille had a very fun birthday party with lots of friends and family attending. The party lasted for 3 hours. She and her frien
Elena-2011 [213]

Camille spent 22 minutes and 30 seconds opening presents.

Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:

Total time - time spent on other activities = time spent opening presents

  • 3 - (3 x 3/8) - (3 x 0.5) = X
  • 3 - 1.125 - 1.5 = X
  • 3 - 2.625 = X
  • 0.375 = X

  • 1 = 60
  • 0.375 = X
  • 0.375 x 60 = X
  • 22.5 = X

Therefore, Camille spent 22 minutes and 30 seconds opening presents.

Learn more in brainly.com/question/11897796

7 0
2 years ago
Eric had 13 tiles to arrange in a rectangular design how does Erics drawing show that 13 is a prime number
zimovet [89]
You just need to divide 13 and 2 and get 6.5.

3 0
2 years ago
R0-180(x, y) maps to the same point as 80,180(x, y).<br> True<br> False
mariarad [96]
The anser is false that what i think ):):(:(:(:(:(:
6 0
3 years ago
Find the surface of the prism with a height of 5, width of 11 and a length of 7
sergeinik [125]

Answer:

it is 385

Step-by-step explanation:

I multiplied 11 by 5 and got 55. then multiplied 55 by 7 and got 385 ;)

6 0
3 years ago
Other questions:
  • I’m confused on the type of angles these are and how to solve them . (Parallel lines and Transversals)
    13·1 answer
  • The product of Jack's age and Florence's age is 266. Jack is 14 years<br> old. How old is Florence?
    10·2 answers
  • The table shows the amount of lemon juice needed to make lemonade. (Unit 9 Lesson 3) Lemon juice (cups) 5 10 20 Servings 35 70 1
    11·1 answer
  • Analyze the graph of the quadratic function that contains the points (0,-2), (1,0) and (3,10). Create the equation of the functi
    12·2 answers
  • Let m (x)=2x^2+6x-7 determine m (3)
    13·1 answer
  • Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.
    15·1 answer
  • What is 80 divided by 60
    11·1 answer
  • Hannah's hair was 18 inches long .Three years later it was 33 inches long. What was the percent increase,to the nearest hundredt
    9·2 answers
  • 65,62,58,63
    8·1 answer
  • Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!