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
scoray [572]
3 years ago
5

Write f(x) in the form (x-k)q(x)+r, given that k=-2. f(x)=3x^4+4x^3-10x^2+15

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
You may perform the division using either long division or synthetic division.  Any preference?

I used synthetic div. with -2 as the divisor:

      ________________
-2  /  3   4   -10   0   15
             -6     4   12  -24
        -------------------------
        3    -2   -6    12   -9

In factored form, with remainder, we then have:

   (x+2)(3x^3 - 2x^2 - 6x + 12)   remainder -9

If you need clarification of any part of this solution, let me know.
You might be interested in
A plane is defined by two lines. What's the counterexample
denpristay [2]
A plane that has more than one agent
4 0
3 years ago
Sammi bought 2dozen valentines. How many valentines did sammi have left after giving 7/8 of them to her classmates
Ierofanga [76]
Dozen = 12

2 dozen

2x12=24

7/8 of 24

24 / 8 = 3 
3 x 7 = 21
24- 21= 3

3 roses are left over

8 0
3 years ago
What is the y-coordinate fo the y-intercept of the line that passes through the points (-4,-4) and (4,8)
podryga [215]
If you see the slope intercept form that’s the y coordinate

4 0
3 years ago
Read 2 more answers
Which equation is represented by the graph below?
LuckyWell [14K]

Answer:

Step-by-step explanation:

Hello

A (5;2)

B (-1;-7)

y = ax + b

2 = 5a + b

-7 = -a + b

2 - (-7) = 5a - (-a) + b - b

2 + 7 = 5a + a

9 = 6a

a = 9/6

a = 3/2

2 = 3/2 * 5 + b

b = 2 - 15/2

b = 4/2 - 15/2

b = 11/2

y = 3/2 x + 11/2

y+1= 3/2(x-4)

y + 1 = 3/2 x - 6

y = 3/2 x - 6 - 1

y = 3/2 x - 7 => no

y-4= 3/2(x+1)

y - 4 = 3/2 x + 3/2

y = 3/2 x + 3/2 + 4

y = 3/2 x + 3/2 + 8/2

y = 3/2 x + 11/2 => yes

y+4= 3/2(x-1)

y + 4 = 3/2 x - 3/2

y = 3/2 x - 3/2 - 4

y = 3/2 x - 3/2 - 8/2

y = 3/2 x - 11/2 => no

y-1= 3/2 (x+4)

y - 1 = 3/2 x + 6

y = 3/2 x + 6 + 1

y = 3/2 x + 7 => no

5 0
3 years ago
Read 2 more answers
What is the gcf for 14 and 55?
pentagon [3]
The greatest common factor would be 1 because you need to factor both 14 and 55 so factor 14 and you get 2 and 7 factor 55 you get 5 and 11 the the GCF has to be 1
I hope this is helpful
4 0
3 years ago
Other questions:
  • Please Help! 30 Points! <br><br> Please explain your answer.
    10·1 answer
  • Please Help Asap thank you!!​
    9·1 answer
  • Can you help prove this identity?
    9·1 answer
  • What is 0.66666666666 as a fraction
    8·2 answers
  • What is the value of 6^3 x 2 3
    11·1 answer
  • Describe the number line of the compound inequality
    12·1 answer
  • to stay healthy joe knows that it is recommended that a person on a 2000 calorie per day diet consume no more than 65 grams of f
    7·1 answer
  • Points P and Q ∈ MN , MP = 2, QN = 5 and MN = 12. The distance from M to the midpoint of PQ is: (A) 5.5 (B) 3 (C) 4.5 (D) 6
    11·2 answers
  • Answerrr ASAPPP PLSSS
    6·2 answers
  • A number divided by 48 has a quotient of 7 with a remanded of 12.What is the number?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!