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
Manny made 4 pizzas to share among himself and 6 friends How much pizza will each person get? Well reread the question and ask y
Assoli18 [71]
....... shouldn't that be a question instead of an answer? Well, I guess it is what it is, and I understand it thx anyways. (=^\/^=)
6 0
3 years ago
Read 2 more answers
On Friday, 134 MP3s were downloaded from an online music store. Of the 73 country songs. 52 were downloaded by women. Of the 61
Natalka [10]

Answer:

13

Step-by-step explanation:

6 0
3 years ago
An element with a mass of 320 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there
HACTEHA [7]

Answer:

X=9

Step-by-step explanation:

7 0
3 years ago
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi
Svetlanka [38]

Answer:

x≤−11

Step-by-step explanation:

−99≥18x−9x

−99≥9x

−

​9

​

​99

​​ ≥x

−11≥x

x≤−11

5 0
2 years ago
FREE PTS! If there was one thing you could change in the past, what would it be?​
m_a_m_a [10]

Answer:

as a german, im pretty sure everyone knows what i'll say next

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line? (2,4) and (0,-1)
    6·1 answer
  • Help please! 13 points! :) Kerry bought a pair of athletic shoes for $45. She also bought a pair of colorful shoelaces for the s
    6·1 answer
  • Solve the inequality 2x<2 pleaseeeeeeeeeeeeee
    9·1 answer
  • Divide 110 g of salt in ratio 5 : 8 : 9; what is the result ?
    12·1 answer
  • Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per
    14·1 answer
  • I need to solve 10x-22=29-7x
    12·2 answers
  • it takes Patty 1/3 of an hour to wash your car and half the time to dry it off how long will it take to get to wash and dry six
    11·1 answer
  • Simplify the expression 10^-8
    7·2 answers
  • Tucker made a scale drawing of a boarding school. The scale he used was 7 millimeters = 1 meter. What is the scale factor of the
    13·1 answer
  • Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!