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amm1812
3 years ago
14

which of the following options represents the desired result when using synthetic division to find out the upper bound of the po

lynomials F(x)=x^3+4x^2+x-6 ?

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

Option (C)

Step-by-step explanation:

Given function is F(x) = x³+ 4x² + x - 6

Possible rational zeros of this function = \frac{\pm1,\pm2,\pm3,\pm6}{\pm1}

[Possible rational zeros of a function f(x) = ax³+ bx² + cx + d,

= \frac{\text{factors of d}}{\text{factors of a}}]

Let the possible zero of this function is 2.

Now do the synthetic division,

2| 1       4        1         -6

<u>    ↓      2       12        26   </u>

   1       6       13        20

Here all the numbers at the bottom are positive by dividing with a positive number 2, therefore, 2 is the upper bound.

There will be no rational zero (Positive) above 2.

Therefore, Option (C) will be the answer.

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Kareem wrote the values shown below.
grandymaker [24]

Answer:

Option D is correct.

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

Step-by-step explanation:

Floor function states that the greatest integer that is less than or equal to x.

It is represented by: \lfloor x \rfloor

Ceiling function states that the least integer that is greater than or equal to x.

It is represented by: \lceil x \rceil

As per the statement:-

Kareem wrote the values show below:

\lceil 3.2 \rceil,  \lfloor 2.7 \rfloor,  \lceil 2.9 \rceil and \lfloor 4.8 \rfloor.

by definition:

\lceil 3.2 \rceil = 4

\lfloor 2.7 \rfloor = 2

\lceil 2.9 \rceil=3

\lfloor 4.8 \rfloor = 4

From the given options only pair which is equivalent is:

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

7 0
3 years ago
Find the slope of the line through each pair of points (-20,-4) and (-12,-10)
Vilka [71]

Answer: -3/4x -19

Use formula y2 - y1

                      x2 - x1

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME NOW HURRY PLEASE HELP ME IM BEGGING DONT SKIP PLEASE HURRY
wlad13 [49]

Answer:

y = 17x

Step-by-step explanation:

8 0
3 years ago
A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing
Deffense [45]

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

8 0
2 years ago
Simplify when it is possible. Help please! <br><br><br> 10x2 -y + x2 =
Dimas [21]
The answer is 
-1x2y+ 20
6 0
3 years ago
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