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
Naya [18.7K]
3 years ago
5

What should be added in the polynomial x3-6x2+11x+8 so that it is completely divisible by 1-3x +x2

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)

Step-by-step explanation:

By long division, we have;

{\left ({x^{3}-6x^{2}+11x+8}  \right )\div 1 - 3x + x^{2}} = x - 3

-(x³ - 3·x² + x)

     -3·x² + 10·x + 8

     -(-3·x² + 9·x -3)

                  x + 11

Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².

That is  (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.

You might be interested in
The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?
Andreyy89

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\sqrt{x { }^{2} }  =  \sqrt{128}

x=

8 \sqrt{2}

Parameter=16+8

8 \sqrt{2 }  + 8 \sqrt{2 }  + 16

16 \sqrt{2}  + 16

7 0
2 years ago
Graph the following Line:<br> 6x+3y=6
yulyashka [42]

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

8 0
2 years ago
Read 2 more answers
A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?
Damm [24]

Answer:

6

Step-by-step explanation:

Find the predicted y value when x=1:

\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5

Find the residual:

\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6

Because our residual is positive, this is an indicator that our predicted y value is too low.

6 0
2 years ago
PLEASE HELP! I AM CONFUSED! Explain your answer, thank you so much! (I will give brainlyest)
antiseptic1488 [7]

Answer:

y+3 = 2(x-4)

Step-by-step explanation:

If we have a slope and a point, we can use the point slope form for an equation of a line

y -y1= m(x-x1)

where m is the slope and (x1,y1) is the point

y--3 = 2(x-4)

y+3 = 2(x-4)

8 0
3 years ago
Read 2 more answers
Simplify -3 to the exponent of 4
WITCHER [35]
<h2><u>Answer</u>:</h2>

81

<h2><u>Step-by-step explanation</u>:</h2>

( - 3)^{4}  \\  \\   - 3 \times  - 3 \times  - 3 \times  - 3 \\  \\ 9 \times 9 \\  \\ 81

Hence answer is 81.

8 0
3 years ago
Other questions:
  • Megan borrowed $3,700 from her parents for 3 years at an annual simple interest rate of 1%. How much interest will she pay if sh
    12·1 answer
  • How many cookies are in the cookie jar?
    8·2 answers
  • It cost Liam $6.10 to send 61 text messages. How much would it cost to send 185 text messages?
    7·2 answers
  • A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat. if the mixture is to be made from milk containing
    8·2 answers
  • What is 91/32 reduced? Checking an answer.
    7·2 answers
  • Find the equation for the line passing through the points (3,-9) and (4,-10)
    5·2 answers
  • I need help with a math problem 6838 multiplied by 2830 then that answer divided by 2
    14·2 answers
  • What does the expression 2(21x + 75) represent
    5·1 answer
  • Is 0.5 greater than or less than 3/5​
    15·2 answers
  • You need to test a claim that more than 18% of students at your campus do not know their blood types. Which sampling method woul
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!