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
Anna35 [415]
2 years ago
15

ANSWER QUICKLY!!!!!

Mathematics
1 answer:
Paul [167]2 years ago
4 0

Answer:

1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant

2. The polynomial is easier to evaluate when it is written in Horner form:

 f(x) = ((x -4)x +1)x +6

To show that 2 is a zero, we want to find f(2):

 f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0

 f(2) = 0, so 2 is one of the zeros of this function

3.  Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...

 x = 2 (from above), x = 3, x = -1 (from our factorization)

4. In factored form, the polynomial can be written ...

 f(x) = (x +1)(x -2)(x -3)

The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).

The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.

There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.

You might be interested in
What is the sum of the interior angles of the figure shown
KonstantinChe [14]

Answer:

C

Step-by-step explanation:

The sum of the interior angles of a square = 360° ( 4 right angles )

The sum of the interior angles of a triangle = 180°

Then sum of interior angles of the figure is

sum = 180° + 180° + 360° = 720° → C

6 0
3 years ago
If you can travel 500 miles in 1 hour, how long will it take you to travel 800 miles
zhenek [66]

Answer:

1 hours and 30 minutes

Step-by-step explanation:

7 0
3 years ago
Gehdidhdvrhsiwhscsujsbejd
zhannawk [14.2K]

Answer:

I agree completely

Step-by-step explanation:

3 0
2 years ago
Please help i will give brainliest to the first person that answers correctly
timurjin [86]

Answer:

From what i know your answer will be a.

6 0
3 years ago
The height of a candle, in centimeters, can be modeled by the linear equation h = 28 - 2t, where t represents the hours that the
Ostrovityanka [42]

The slope is -2. In context to this problem, the candle will burn away 2cm of its length every hour.

5 0
3 years ago
Other questions:
  • 91 more than the square of a number
    11·2 answers
  • X = -12 is a vertical line.
    15·1 answer
  • 50pts!!! I need proper help and an easy to understand explanation.
    14·1 answer
  • From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl
    15·2 answers
  • Please help! I will mark you as brainliest!
    11·2 answers
  • Graph each pair of parametric equations. (2 points each) x = 3 sin^3t y = 3 cos^3t
    9·1 answer
  • A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.
    7·1 answer
  • The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the sq
    7·1 answer
  • Type the correct answer in each box. Use numerals instead of words. Consider this expression.
    10·2 answers
  • WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!