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
navik [9.2K]
3 years ago
8

Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2

/3 b. x + 1/3 d. x - 4
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

c. x - 2/3

Step-by-step explanation:

The given equation is f(x) = 3x^4 - 5x^3 - 71 x^2 + 157x + 60

To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.

For x - 3, x = 3

Substituting x = 3 into the given polynomial:

f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0

x - 3 is a factor

For x - 4, x = 4

Substituting x = 4 into the given polynomial:

f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0

x - 4 is a factor

For x - 2/3, x = 2/3

Substituting x = 2/3 into the given polynomial:

f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22

x - 2/3 is  not a factor

For x + 1/3, x = -1/3

Substituting x = -1/3 into the given polynomial:

f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0

x + 1/3 is  a factor

You might be interested in
Please I need help . I will brainlist
liraira [26]
Firstly,we need to understand the properties of a parallelogram:

-Opposite sides are parallel by .
-Opposite sides are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.

Therefore in this case:
XW must be congruent to YZ.
WZ must be congruent to XY.

Hope it helps!
4 0
2 years ago
I need some help pls :'(
Luda [366]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
What dose 91x17 equal
PtichkaEL [24]
If you put 91 times 17 in a calculator, you get 1547. 1547 is your answer.
3 0
3 years ago
Read 2 more answers
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?​
gayaneshka [121]

Answer:

The cost of 2 quintal of rice is $10,000.

Step-by-step explanation:

To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.

Now, to determine the cost per kilogram of rice, the following calculation is required:

4,500 / 90 = X

50 = X

Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.

5 0
3 years ago
The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the
oee [108]

The length and width of the rectangle are: 2x^2y^2 , 3xy^3

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of a rectangle is represented by the expression 6x^3y^5.

The area of the rectangle = 2x^2y^2 \times 3xy^3

                                          = 6x^3y^5

So, the length and width of the rectangle are: 2x^2y^2 , 3xy^3

Learn more about the area;

brainly.com/question/1658516

#SPJ1

7 0
1 year ago
Other questions:
  • Find the GCF of 18xy and 32xyz
    14·2 answers
  • A classroom has 14 boys and 18 girls. What is the ratio of boys to girls?
    10·2 answers
  • 9 fiends share 12 pounds of pecans equally. how many pounds of pecans does each friend get
    10·1 answer
  • The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats
    7·1 answer
  • What is
    6·1 answer
  • I'm stuck, please help me​
    9·2 answers
  • the cost of old boiler is £775 per year,the new one is £1850 ,the cost of using a new boiler will be 1/5 less than the cost of u
    9·1 answer
  • Dario increased his savings from $350 to $413. What is Dario's percent increase in<br> savings?
    9·1 answer
  • In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
    12·1 answer
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!