According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?

Group of answer choices

Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.

Any rational root of f(x) is a factor of 8 divided by a factor of 3.

Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.

Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Answers

Answer 1

The rational root theorem is used to determine the possible roots of a function.

The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

The function is given as:

[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]

The possible roots of a function

[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]

are

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]

By comparison: p = 3 and q = 8

So, we have:

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]

Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Read more about rational root theorem at:

https://brainly.com/question/9353378


Related Questions

Literal equations ….

Answers

Answer:

c - 215/5 = p

Step-by-step explanation:

[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]

Hope this helps! Brainliest would be appreciated!

Answer:

[tex]p=\frac{c - 215}{5}[/tex]

Step-by-step explanation:

Hello!

Solve for p[tex]c = 5p + 215[/tex]

Subtract 215 from both sides

[tex]c - 215= 5p[/tex]

Divide both sides by 5

[tex]\frac{c - 215}{5} = p[/tex]

The solution for p is [tex]p=\frac{c - 215}{5}[/tex]

Help help help close

Answers

Answer:

x = 3.2

Step-by-step explanation:

Divide 400 by 125 to get x.

Answer:

x = 31.25%

Step-by-step explanation:

[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]

A baseball team played 75 games and lost 20% of them. How many games did the team lose?
O 15
O 20
O 55
O 60

Answers

the answer is 15!!!

Answer: 15

Step-by-step explanation: 20% → .20

.20 x 75 = 15

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 is the answer

Unit 3 parallel and perpendicular lines homework 2 please help quickly don’t understand front page

Answers

Answer:

this statement is confusing me

Step-by-step explanation:

cause I don't understand it

A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?​

Answers

200 times / 3 minutes = x times / 60 minutes

3x = 12000

x = 4000 times in an hour

A person's heart will beat 4000 times in an hour.

Hope this helps!! :)

Answer:  4000 beats per hour

Step-by-step explanation:

200 beats     X   60 minutes    

3 minutes               1 hour

The term 'minutes' cancel out therefore you are left with beats per hour

200 x 60       =    12000    =  4000 beats per hour

      3                         3

QUESTION: 600 ÷ ___ = 3?
SOURCE: i-Ready

Answers

Answer:

The answer is 200 I AM POSITIVE

Step-by-step explanation:

Mark me as branliest maybe??

find the surface area 5 in 7 in 3 in​

Answers

Answer:

Step-by-step explanation:

If theses are the edges of a prism then

Surface area = 2(5*7 + 5*3 + 7*3)

= 2 * 71

= 142 in^2.

spot the error and rewrite pllz I need now


Quotient ×Remainder+dividend=Divisor​

Answers

Answer:

Divisor × Quotient + Remainder = Dividend

Step-by-step explanation:

Hope it is helpful.....

Answer:

Divisor×Quotient+Dividend=Remainder

What is the algebraic inverse of the function? f(x) = 2x -6 please include steps

Answers

9514 1404 393

Answer:

  f^-1(x) = (x +6)/2

Step-by-step explanation:

The inverse function is found by solving ...

  x = f(y)

Here that is the solution to ...

  x = 2y -6

  x +6 = 2y . . . . . add 6

  (x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (x +6)/2

Hey can you help me.?

Answers

Answer: 1.45 x 10^2

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

Answers

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

For each pair of functions f and g below, find S (8 (x)) and
Please help

Answers

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

__

(b)

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

f and g are not inverses of each other

Solve: (-5) + (-18)

A -23

B- 13

C 13

D 23​

Answers

the answer would be -23

Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.​

Answers

Answer:

£18, 767.7574

Step-by-step explanation:

15837.77 x 18.5%=2,929.98745

15837.77 + 2,929.98745= 18, 767.7574

Hope this helps! Please ask me freely if you have any questions regarding this.

Answer:

Step-by-step explanation:

100+18.5=118.5

15837.77×118.5 %=18767.75745≈18767.76

I dont understand Analyze and solve percent problems

Answers

Answer:

okay, well, is there any link u wanna post for us to help u? maybe we can explain it?

Step-by-step explanation:

Solve using proportions

Answers

4:3 means 4/7 of the class are men

4/7 of 490 is 280

Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.

Answers

Answer:

6 to 11

Step-by-step explanation:

By definition,

the odds in favor of getting an extra turn =

(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =

6 to (17 - 6) =

6 to 11.

Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C

Answers

ANSWER:

B.

CAN YOU BRAINLEST ME THANK YOU

HOPE IT HELPS YOU

fill in the blank (Geometry B)

Answers

19............(i think).............

What is length of Ef?
A.10
B.15
C.20
D.v200
E.v300
F.v500

Answers

Answer:

Answer E is correct

Step-by-step explanation:

Let the Length of EF be x

Use PYTHAGORAS theorem to find the length of EF

EF² + DF² = DE²

[tex] {x}^{2} + {10}^{2} = {20}^{2} \\ {x}^{2} + 100 = 400 \\ {x}^{2} = 400 - 100 \\ {x}^{2} = 300 \\ x = \sqrt{300} [/tex]

So,

[tex]EF = \sqrt{300} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6

Answers

Answer:

steps below

Step-by-step explanation:

5¹+5² = 30        30/6 = 5¹

5³+5⁴ = 125 + 625 = 750     750/6 = 125 = 5³

5⁵+5⁶ = 18750         18750/6 = 3125 = 5⁵

...........

(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹

sum of every couple consecutive multiple of 5 are multiple of 6, the sum

S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6

Can someone help me with number 18 please!!!!

Answers

Step-by-step explanation:

try general keyboardjdjdjjkdd

i need to know what 9+10=

Answers

19 !!!!!!! This is right !!!

this is literally kindergarten math smh

its 21


Help!!!!!!!!!!!!!!!!

Answers

Answer:

geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr

Step-by-step explanation:

higos arraigo titubear otorgó eurodiputados

what's the slope of line parallel to the line x-4 = -6

Answers

Answer:

Parallel slope is undefined.

Step-by-step explanation:

x - 4 = -6

x = -2

Slope does not exist.

Solve the for variable


c+7=13


c = ?

Answers

Answer:

c=6

Step-by-step explanation:

c+7=13

-7        -7

c=13-7

c=6

What do I do about this?

Answers

Answer:

you can get a VPN and it will let you view restricted content

Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.

Answers

Answer:

times by 2 because it keeps going up by times 2 the number of blocks

9514 1404 393

Answer:

  5th: 32

  6th: 64

The number doubles at each step.

Step-by-step explanation:

Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.

It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...

  2, 4, 8, 16

1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence

ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2

We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.

The blocks in the 5th step will be 2^5 = 32.

The blocks in the 6th step will be 2^6 = 64.

_____

Additional comment

It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.

What’s the equation of the horizontal asymptote

Answers

By inspection, the equation for the horizontal asymptote is y = -3.

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