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
Lorico [155]
3 years ago
14

if polynomial ax3 + 3x2 - 3 and 2x3 - 5x + a leaves the same remainder when each is devided by x - 4 find the valuse of a

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

a = 1

Step-by-step explanation:

Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.

x - 4 = 0

x = 4

When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:

a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45

The remainder is 64a³ + 45

For 2x³ - 5x + a we find the remainder by substituting x = 4:

2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a

Since they both have the same remainder, therefore:

64a + 45 = 108 + a

64a - a = 108 - 45

63a = 63

a = 1

You might be interested in
NEED HELP ASAP!! WILL GIVE BRAINLIST IF CORRECT
cupoosta [38]

Answer:

1385.28 m²

Step-by-step explanation:

apothem = √16² - 8² = √256 - 64 = √192 = 13.86

Base area = 3 x 16 x 13.86 = 665.28

6 side area = 3 x 16 x 15 = 720

surface area = 665.28 + 720 =1385.28

4 0
3 years ago
4/9+r=-4/9<br> What is r
julsineya [31]

Answer:

r = - 8/9

Step-by-step explanation:

\frac{4}{9} +  r =  \frac{ - 4}{9}  \\ r =  \frac{ - 4}{9}  -  \frac{4}{9}  \\ r =  \frac{ - 8}{9}

6 0
3 years ago
A muscle cell in a heart divides to make a new muscle cell which component of cell theory does this best illustrate?
kogti [31]
Understanding what you’re reading
5 0
3 years ago
Read 2 more answers
When x = 1 ; (1) - y = 1
ioda

I don't speak the language; I'm not even sure what language that is. I went to Indonesia in 1991 but all I can say now is "saya mau beli mango."


But math is math. It says "graf"; this is probably making a table to help draw the graph.


It looks like the curve we're trying to graph is


x - y = 2


That's


y = x - 2


That's a fairly straightforward table to make; unfortunately our first entry isn't consistent with the above equation. I'll assume the equation is correct and make a vertical table; that's easier to type:


x y (x,y)

0 -2 (0,-2)

1 -1 (1,-1)

2 0 (2,0)

3 1 (3,1)

4 2 (4,2)

5 3 (5,3)



3 0
3 years ago
What is the probability of the spinner landing on 2? A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
guapka [62]

Answer:

It has a 25% chance of landing on 2

Step-by-step explanation:

If it is split into 4 equal parts each 1/4th is 25%

so landing on 2 would be 25%

3 0
3 years ago
Other questions:
  • 325 Students and adult Will be riding the buses .Each buses hold 48 people.how many buses are needed .
    8·2 answers
  • If x = 3 units, y = 13 units, and h = 7 units, then what is the area of the trapezoid shown above?
    5·1 answer
  • What is the answer to (x-5)-(4x+2)
    14·1 answer
  • 52% of what number equals 39
    8·2 answers
  • 10(3.25-1.25)+3/4 help please brain brain no work
    13·2 answers
  • Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents eac
    7·1 answer
  • the mass of earth is approximately 5.9x10^24 kg, and the mass of venus is approximately 4.9x10^24 kg. find their combined mass
    6·2 answers
  • Simplify: -7 - 8<br><br> Change 1 6/7 to a decimal round to the nearest tenth.
    11·1 answer
  • (09.06)
    12·1 answer
  • Câu 99: Cho hàm số f x  xác định trên ℝ , bảng biến thiên của hàm số f x   như sau.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!