Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3

Answers

Answer 1

Answer:

The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].

Step-by-step explanation:

Graphical calculator way (probably intended)

By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).

Algebraic way (probably not intended because of obscure factoring)

Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].


Related Questions

Find the value of the greater root x2-6x+5=0

Answers

Answer:

Answer Expert Verified To factor a quadratic of the form ax^2+bx+c, two values, j and k, must satisfy two conditions... The greater of which is 5.

1 ticket costs $7 how many tickets can you buy with $63?

Answers

Nine tickets. That is how many you can buy:

Answer:

9

Step-by-step explanation:

63 divided by 7 = 9

If you need to check it just multiply 7 and 9.

Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.

Answers

Answer:

she started with 32 apples and ended with 28

there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag

Step-by-step explanation:

How do you solve 13 + 3 - 8x + 6 = 1 - 5x I dont get it

Answers

Answer:

x = 7

Step-by-step explanation:

How to solve your question

Your question is 13 + 3 − 8x + 6 = 1 − 5x

13 +3 - 8x + 6 = 1 - 5x

13 + 3 − 8x + 6 = 1 − 5x

Solve

Add the numbers

13 + 3 − 8x + 6 = 1 − 5x

22 − 8x = 1 − 5x

Rearrange terms

22 − 8x = 1 − 5x

−8x + 22 = 1 − 5x

Subtract  22 from both sides of the equation

−8x + 22 −22 = −5x + 1 − 22

Simplify

Subtract the numbers

−8x = -5x + 1 -22

-8x = -5x -21

Add 5x to both sides of the equation

-8x + 5x = -5x -21 + 5x

Simplify

Combine like terms

-3x = -21

Divide both sides of the equation by the same term

(-3x)/3 = (-21)/3

Simplify

Cancel terms that are in both the numerator and denominator

x = (-21)/(-3)

Divide the numbers

x = 7

Answer: x=7

Step-by-step explanation: :)

Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay

Answers

Answer:

Tia earns $693 in 36 hours

(1,9)(2,2) what is this in point slope form?

Answers

y-9=-7(x-1) i’m positive
Answer:Hope this helps you out and have a nice day

You walk back and forth to school every day. The school is 1.25 km from your home. What is the distance you walk, in meters, every day? (1km =1000m)


I need this before 2:13

Answers

Answer:

1250

Step-by-step explanation:

1 km = 1000 meters

so we have 1000 plus 0.25x1000=250

1000

250

_____

1250

If triangle HBN ~ triangle LYR, find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?​

Answers

$13 i think would be the answer

1440 tons of grain where brough to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during teh first day where brought in. HOw many tons where delivered on teh first day

Answers

Answer:

Answer is 800

Step-by-step explanation:

if you do 1440=0.8t+t

1440=1.8t

800=t

so the first day is 800 tons and the second day is 640 tons

Help mee !! I’ll give points !!

Answers

Answer: It is (x - 3)(x + 5)

PLEASE HELP WILL GIVE BRAINLYLIST
x y
2 0
3 1
4 2
5 3

y = x -

Answers

i think the answer is y = x - 2
hope this helps :)

Hi My name Is Chloe, Can you Help me please, Thank you :)

Put the Value of A=3 in (inch)

*I think It's A= -1 But I wasn't sure*

Answers

Answer: You can also use an inch fraction calculator to quickly find the decimal value for an inch fraction. For example: 3/8 = 3 ÷ 8 = .375 inches. Convert feet to inches by ...

Step-by-step explanation:

Answer:

I got banned :(

Step-by-step explanation:

Who can help me on my math I’m failing can y’all please help me on some questions.
It’s solving systems of equations

Answers

Answer:

Lowest: 78

Highest: 99

Step-by-step explanation:

Quiz 1 =A

Quiz 2 = B

B = 21 + A

2A = 57 + B

2A = 57 + (21 + A)

2A = 78 + A

A = 78

B = 21 + A

B = 21 + 78

B = 99

Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).



Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.

Answers

y= (3/5)x-1    exponetial

i am not a 100% on this

what is .2735 rounded to the tenth, hundredths and thousandth place?

Answers

Answer:

Tenth: .2

Hundredths: .27

Thousandth: .273

Answer:

i fald

Step-by-step explanation:

what is this

917 mL = _____ L

Answers

Answer:

0.917

Step-by-step explanation:

1ml=0.001L

Answer:

0.917 L

Step-by-step explanation:

Keep in mind that 1 L = 1000ml

since the number in ml does not go past 1000 it means that there is not even 1 liter. So your answer will be a decimal.

917 mL = 0.917 L

please help
step by step please

Answers

Answer:

The answer is 6

Step-by-step explanation:

First,

10 x 3 ( numerator ) = 30

30 divided by 5 = 6

Answer:

The answer is 6

Step-by-step explanation:

  10 * [tex]\frac{3}{5}[/tex]

= [tex]\frac{10 * 3}{5}[/tex]

= [tex]\frac{30}{5}[/tex]

= 6

fractions equivalent to - 9/16

Answers

Answer:

Equivalent Fractions for 9/16: There are infinity equivalent fractions to 916. See some examples: 916, 1832, 2748, 3664, 4580, 5496, 63112, 72128, 81144, 90160, 99176, 108192, 117208, 126224, 135240, 144256, 153272, 162288, 171304

Step-by-step explanation:

NOT my answer, got it from g0ogle..

Multiplying by 1.19 is the same as increasing by
%

Answers

Answer:

19%

Step-by-step explanation:

If you mulityply by 1.19 you are giving a result of 119%, thus you either multiply by 1.19 or divide first by 100 and then multiply by 119.

The answer is 19% mabye

You score an 80% on your test. You answer 44
quesitons correctly. How many questions were on the
test?

Answers

Total of questions was 55
55-80%=44

Answer:

55

Step-by-step explanation:

Find the perimeter of the following triangle. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

step 1. The perimeter (P) is the length around the triangle.

step 2. P = 6 + 5 + L (the length of the hypotenuse)

step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root

step 4. P = 11 + sqrt(61) = 18.81.

any help would be cool

Answers

Answer:

379.94

Step-by-step explanation:

Answer:

D. 69.08 meters

Step-by-step explanation:

The formula for solving circumference is 2 times pi times r(radius). Multiply 2 x 3.14 x 11 (the radius). You get 69.08 meters.

Hope it helps!

Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 centimeters. The base of the triangular cloth is 214 centimeters. The remaining two sides have the same length, s. Which equation models how to find the length of the other two sides of Evan's cloth?

Answers

Answer:

214 + 2s = 934

Step-by-step explanation:

First, we know that:

P = 934 cm

If the base (the bottom) of this isosceles triangle is 214 cm, that means the sum of the two remaining sides will be:

934 - 214 = 720

Because the two sides are equal, their measures can be represented by:

720/2

So a good equation would be:

934 = 214 + 2s

Where s = 360.

plzz help Solve the following equation using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.

24x2 + 16x + 2 = 0

Answers

This is what I got I hope it helps

Solve for x (X-9)(x+5)=8(21)

Answers

I think the answer should be x = 10.101326

(3) GEOMETRY IMAGE BELOW. 20 POINTS!!

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

the length of the mid segment was 42 option A

( previous question ) according to me and it is right so please recheck your previous answer as it was option A not D

hope this will be helpful to you.

and mark my answer as brainlist plzzzz.

the answer above is correct it’s option D

3x - 4.5 = -19.5
solve for x

Answers

Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

please help me thank you

Answers

Answer:

7<x<14

Step-by-step explanation:

Answer:

heh heh that's a hard one

helpp with explanation:
a 25 foot telephone pole is to be secured with cable that will extend from the top of the pole to a stake in the ground 20 feet from the base of the pole. if y represents the length of the cable what is the approximate value of y?

Answers

Answer: 5

Step-by-step explanation:

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