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
elena-s [515]
2 years ago
11

Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​

Mathematics
1 answer:
goblinko [34]2 years ago
5 0

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

<u>a=b+3</u>

You might be interested in
What is |-9+4| ? Pls help
Klio2033 [76]

it's 5.

because + × - is -

7 0
3 years ago
Read 2 more answers
Please help me with this!!!!
olga_2 [115]
The answer would have to be A
5 0
3 years ago
Cones A and B both have volume 48pi cubic units, but have different dimensions. Cone A has radius 6 units and height 4 units. Fi
Andre45 [30]

Answer:

hdhehdjejrjejejejejrjrjrjeejjjjjjhshdhdhdheejjeheje

7 0
2 years ago
I usually dont ask for help in math, but this has me stumped. pls help!
USPshnik [31]

Use photomath it's an app used for mathematic problems but not word problems

7 0
3 years ago
Mr. Aleman is the treasurer for his local scouting troop. He makes a budget for the troop.He suggests that they spend 1/2 of the
kari74 [83]

Answer:

Answer: XII CCCXLV

Step-by-step explanation:

To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).

Ten Thousands=10,000=X

Thousands=2,000=MM

Hundreds=300=CCC

Tens=40=XL

Ones=5=V

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What's the equivalent fraction to 32/41
    15·1 answer
  • What is the measure of the missing length?
    10·1 answer
  • Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several
    8·2 answers
  • A certain field is a rectangle with a perimeter of 934 feet. The length is 153 feet more than the width. Find the width and leng
    14·1 answer
  • Write a expression only using positive exponents <br><br> 9c3/c -4
    6·1 answer
  • PLEASE HELP ME ,THIS IS HARD ,AND I DON’T UNDERSTAND MATH..
    13·2 answers
  • Find the perimeter of the figure to the nearest hundredth. (includes picture)
    13·1 answer
  • HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused
    8·1 answer
  • Can someone please help me choose my freshman classes
    15·1 answer
  • Can you help me please.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!