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
Kipish [7]
3 years ago
14

For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

You might be interested in
How many yards equals 765 inches?<br><br><br><br> Enter your answer, as a decimal.
photoshop1234 [79]
One inch equals 0.0277778.
So, in order to see how many yards equals 765 inches, all you have to do is multiply 765 by 0.0277778.
765 * 0.0277778 = 21.25.

The correct answer is 21.25
8 0
3 years ago
Read 2 more answers
Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.
chubhunter [2.5K]
Well looking at the information in triangle ABC you know 

Angle B + Angle C = 180 - 144

so Angle B + Angle C = 36

since the triangles are similar let angle M = x   

then Angle C = 2x        and angle B = angle M but the similarity postulate

so form an equation 

2x + x = 36 

solve for x 

Hope it helps
8 0
3 years ago
Read 2 more answers
Q12 A driver sees this speed limit sign in France. The speed is in kilometres per hour
olga nikolaevna [1]

Answer:

Step-by-step explanation: idk

7 0
3 years ago
A controversial story comes out in the school newspaper. The number of students who have not heard about the story decreases at
denis23 [38]

The bisector goes through photosynthesis causing the qordinates of the triangle to find the spectrum

7 0
2 years ago
Find the series shown.
solmaris [256]

Answer:

C 11+13+15+17+...

Step-by-step explanation:

Consider the series

\sum\limits_{n=3}^{\infty}(2n+5)

The nth term of series is a_n=2n+5

The bottom index tells you that n starts changing from 3, so

a_3=2\cdor 3+5=11\\ \\a_4=2\cdot 4+5=13\\ \\a_5=2\cdot 5+5=15\\ \\a_6=2\cdot 6+5=17\\ \\...

Thus, the sum of all terms is

11+13+15+17+...

8 0
3 years ago
Other questions:
  • Marie has $830 in her bank account and withdraws $60 each month. Denise has $970 in her bank account and withdraws $80 each mont
    10·1 answer
  • I need help asap i just need the work pls help
    12·1 answer
  • Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which f
    11·1 answer
  • A garden market sells pumpkin seeds by the box. There are M pumpkin seeds in one pocket and N packets in a box. If each box of p
    8·1 answer
  • Brainliest! Fast answer! Correct answer!
    5·1 answer
  • Expand the following. In other words, remove the parentheses (brackets):
    11·1 answer
  • Help please I will mark Brainly
    10·1 answer
  • 3(5x + 2) = 2(3x - 6)<br><br> Step by step please give me the right answer . Thank u
    15·2 answers
  • Help me plzzzzzzzzzzzzzzzzzzzs
    10·1 answer
  • Find the range from the following date 50,75,65,35,85,55,95,70,25,45​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!