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
Musya8 [376]
3 years ago
6

Which of the following is a factor of x4 + 5x3 - 4x2 - 8x + 6? 2x+3 x-1 2x-3 x+1

Mathematics
2 answers:
uysha [10]3 years ago
7 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

f(x)=x^4+5x^3-4x^2-8x+6

If (x-c) is a factor of a function, then f(c)=0.

In option 1:

(2x+3)=0

x=-\frac{3}{2}

f(-\frac{3}{2})=(-\frac{3}{2})^4+5(-\frac{3}{2})^3-4(-\frac{3}{2})^2-8(-\frac{3}{2})+6=\frac{-45}{16}\neq 0

Therefore option 1 is incorrect.

In option 2:

x-1=0\Rightarrow x=1

f(1)=(1)^4+5(1)^3-4(1)^2-8(1)+6=0

Therefore option 2 is correct and (x-1) is a factor of f(x).

In option 3:

(2x-3)=0

x=\frac{3}{2}

f(\frac{3}{2})=(\frac{3}{2})^4+5(\frac{3}{2})^3-4(\frac{3}{2})^2-8(\frac{3}{2})+6=\frac{111}{16}\neq 0

Therefore option 3 is incorrect.

In option 4:

x+1=0\Rightarrow x=-1

f(-)=(-1)^4+5(-1)^3-4(-1)^2-8(-1)+6=6\neq 0

Therefore option 4 is incorrect.

muminat3 years ago
4 0

Answer:

x + 1

Step-by-step explanation:


You might be interested in
With these numbers I have to find the median. Please help mee!!
Aloiza [94]
Write them in order from least to greatest,
11.9, 12.0, 12.3, 12.4, 12.4, 12.5, 12.7,12.8, 12.9, 13.1, 13.2, 13.8
then eliminate one from each side until you find the middle one,
12.5, 12.7
you have two middle, so you find the middle number in between them.

12.6 is the median.
4 0
3 years ago
Read 2 more answers
The complement of an angle is $5^{\circ}$ more than four times the angle. what is the number of degrees in the measure of the an
Anna11 [10]

Answer:

  17°

Step-by-step explanation:

Let x represent the measure of the angle.

  (90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle

  85 = 5x . . . . . . . . . . add x-5 to both sides

  17 = x . . . . . . . . . . . . divide by 5

The measure of the angle is 17°.

3 0
3 years ago
Read 2 more answers
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Olenka [21]

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

7 0
3 years ago
Calculate 0.8 of $4500​
aleksandr82 [10.1K]
$3,600 is 0.8% (or 80%) of $4,500.
3 0
2 years ago
Herman Melville had worked at the University Medical Center for 20 years when he became permanently disabled while at work. He c
lidiya [134]

Answer:

Herman Melville's annual disability benefit is $46,114.8

Step-by-step explanation:

Given the data in the question;

Herman Melville is 55 years, worked for 20 years, planned to retire in the next 10 years i.e at the age of 65.

so since he planned to work for the next 10 years;

total duration of work will be; ( 20 + 10) years = 30 years

Average salary per year = $76,908

Total salary in 30 years will be; $76,908 × 30 = $2,307,240

Hospital rate benefits = 2%

So, total annual disability benefit will be;

⇒ 2% of Total salary in 30 years

⇒ 2/100 × $2,307,240

= $46,114.8

Therefore, Herman Melville's annual disability benefit is $46,114.8

4 0
3 years ago
Other questions:
  • A scout troop consists of 10 boys and 10 girls. The total weight of their backpacks is 600 pounds. All the boys have to carry ba
    8·1 answer
  • If your car gets 35 miles per​ gallon, how much does it cost to drive 400 miles when gasoline costs ​$3.30 per​ gallon?
    14·1 answer
  • 1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
    15·1 answer
  • The garden club earned \$15$15dollar sign, 15 per hour by weeding neighborhood gardens for ttt hours. A generous donor has agree
    8·1 answer
  • 10. -3.8x - 5.9x = 223.1
    11·2 answers
  • The standard deviation of a population is 4.1.<br><br> What is the margin of error?
    6·1 answer
  • Which property is BEST to use when simplifying (0.58+0.32)+ 0.68
    5·1 answer
  • What is the answer to this
    6·2 answers
  • What is the 4 letter code?
    11·1 answer
  • 8.92 x 10^6 in scientific notation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!