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
Find the value of the variable and BC, if B is between A and C.<br> AB = 5x, BC = 3x-1, AC = 47
schepotkina [342]

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

47 = 5x + 3x - 1

Combining like terms:

47 = 8x - 1

Add 1 on both sides:

48 = 8x

Divide 8 on both sides:

X = 6

Now that we know what X equals, we can solve BC.

BC = 3(6) - 1

BC = 18 - 1

BC = 17

Therefore BC = 17.

4 0
3 years ago
when a coin is flipped n times,what is the probability that the first head comes after exactly m tails
NeTakaya

Answer:

the probability of flipping n times is 12n, since that's the probability of flipping exactly n−1 tails followed by 1 heads.

Step-by-step explanation:

8 0
2 years ago
Vertical angles are supplementary, true or false?
beks73 [17]

Answer:

False

Step-by-step explanation:

Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.

4 0
3 years ago
Read 2 more answers
In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a.
FromTheMoon [43]
The x  coordinate of S will be 1/2 * 2a = a.
and since  the half triangle is 30-60-90 the y coordinate will be sqrt3 a

so S  is (a , sqrt3a)
4 0
3 years ago
Read 2 more answers
The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the t
Black_prince [1.1K]

Answer:

706.95in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

The trash can has a cylindrical shape

The distance from the center to the edge is the radius r= 15in

Step two

Area of top (circular ) = πr²

A= 3.142*15²

A= 3.142*225

A= 706.95in²

5 0
3 years ago
Other questions:
  • A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries. Ramses
    9·1 answer
  • What is the value of the expression below when simplified?<br><br> 4[5(3 − 1)]2 − 23
    13·2 answers
  • A 155 pound man burns about 500 calories per hour playing raquetball. one pound is equal to 3500 calories. how long will it take
    5·1 answer
  • Willa says the slope of the graph is - 3. What error did
    11·1 answer
  • A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
    8·1 answer
  • The point slope equation for this slope is 2
    10·1 answer
  • One highlighter has a mass of 11 grams. Another highlighter has a mass of 10,800 milligrams. Which highlighter has the greater m
    10·2 answers
  • 5 in.<br> 256 in2<br> 160 in2<br> 8 in.<br> 4 in.<br> 288 in2<br> 96 in<br> 4 in.<br> 8 in.
    5·1 answer
  • Dustin's Lawn Care Service Customer Amount Paid Mrs. Schmitt $15.75 Mr. Jones $9.25 Mrs. Adams $22.50 Mr. Meyer $50.00 How much
    9·1 answer
  • 2y + 3y -3y -6(y + 2) = -y + 6
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!