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
Find the value of x for mAB=34 and mCD=25 (The figure is not drawn to scale.)
Alexus [3.1K]
<h3>Answer:   29.5 degrees</h3>

==============================================

Explanation:

Add up the arc measures and divide by 2 to get the angle formed by the two chords.

angle AOB = (arc AB + arc CD)/2

angle AOB = (34 + 25)/2

angle AOB = 59/2

angle AOB = 29.5 degrees

3 0
2 years ago
Read 2 more answers
Can someone help me with this having trouble !
Usimov [2.4K]

Answer:

<em>Tick:</em>

<em>- the coefficient of the second term is -5</em>

<em>- the coefficient of the fourth term is -10</em>

Explanation:

The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)

Hope this makes sense. Feel free to inquire further if need be!

- profparis

3 0
1 year ago
Read 2 more answers
Solve for x in the equation x2 - 8x+41 - 0
Liula [17]

Answer:

x= 4+5i

Step-by-step explanation:

7 0
3 years ago
Sophia has $8 to spend on lunch. Does she have enough money for a sandwich, a drink, and a bag of chips?
aniked [119]

Answer:

unknown, because the cost of the sandwich, a drink and a bag of chips where not listed in the question

7 0
3 years ago
A wheel assembly is
Basile [38]

Answer:

The total weight of the assembly is 7 pounds.

Step-by-step explanation:

The total weight of the assembry is found by the sum of the weights of each components.

We have:

2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds

An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds

The total weight of the assembly is 7 pounds.

5 0
3 years ago
Other questions:
  • In mathematics class, 24 students received an A on the third test, which is 150% of the students who received an A on the second
    10·1 answer
  • Line segment RS is shown on a coordinate grid:
    9·2 answers
  • Rose is making chocolate chip cookies for dessert the recipe for one batch of chocolate chip cookies calls for 2 1/2 cups of sug
    9·1 answer
  • PLZ HELP!!!<br> what r the answers??
    6·1 answer
  • NEED HELP PLS FOR BOTH!!!
    5·1 answer
  • What's the depth of 5cm
    11·1 answer
  • What decimal is equivalent to 21% ?
    13·2 answers
  • Complete the square for the expression
    11·1 answer
  • Are 7/18 and -21/-56 are equivalent​
    7·1 answer
  • Get this right to earn 100+ points (IM SERIOUS)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!