Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3.

Answers

Answer 1

9514 1404 393

Answer:

  p(x) = 3(x -2)^4(x +2) . . . in factored form

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96  . . . in standard form

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.

  p(x) = 3(x -2)^4(x -(-2))

  = 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)

  = 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)

  = 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96


Related Questions

Multiply 3hrs 30mins by 4

Answers

Answer:

14 hours

Step-by-step explanation:

3.30 x 4 = 14 hours

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa's got 4265.46 Ghc as his take home pay for the past month.

The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;

4687.24 - 421.78 = 4265.46 Ghc

to learn more, see here  https://brainly.com/question/16688602

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?

Answers

Answer:

50%

Step-by-step explanation:

Please answer #1 hurry!!! Will give brainliest

Answers

Answer:

1a) O is the steepest

1b) because it is more angled

1c) all lines are positive

Step-by-step explanation:

1a) plot the coordinates on the graph and find the steepest

Answer:

1a) O) y = 5x

1b) The slope value is greater than M and N

1c) They all meet on the point of (0,0) because there is no b value and are all positive slopes.

1/4×10/12 simplest form

Answers

Answer:

10/48 - 2/24 - 1/12

Step-by-step explanation:

answer is 1/12

Pls help I’ll brainlest and add extra points

Answers

6- neither of the treatments helped dispel the green lime.
7-control group- water
8-independent variable- coconut juice
9-dependent variable- green slime
10- homers conclusion would be that neither coconut juice nor water would treat the green slime that had been in his shower.

In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?​

Answers

Answer:

145°

Step-by-step explanation:

ΔLMN is isosceles with angle L being 35°.

Angle  measure of M and N is same:

m∠M = m∠N = 1/2(180 - 35) = 72.5

Arc measure is twice the intercepting angle, since the angle is not central:

mLN = 2*72.5 = 145

plot 1 1/2 and its opposite on the number line

Answers

Answer:

the opposite of 1 1/2(1.5) is -1 1/2(-1.5)

Step-by-step explanation:

I have more question then this one

Answers

Answer:

option b

Step-by-step explanation:

have a great day

HELP LAST ATTEMPT ??!!

Answers

Answer:

x=26

Step-by-step explanation:

x+11+2x+1+90=180 [Angles in a straight line]

3x=180-102

x=78/3

x=26

or,

x+11+2x+1=90 [Complementary angles]

3x=90-12

x=78/3

x=26

someone please help with this question for brainliest !!!!:)

Answers

Answer:

11

0

1

30 ...........

.....

What is the y-intercept of the line y =
= {x-5
-5?

Answers

It is B. -5 should be the answer mark brainliest pls.

[tex]\large y=\dfrac{1}{2} x-{\boldsymbol5}^{\sf /y -intersept} \\\\ \rm Answer : B)-5[/tex]

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place


Answers

Hi,

Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.

Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4

Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.

But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.

Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.

Good Luck

Find the area of the circle.

Answers

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

Solve the equation for X x - 5 = 12​

Answers

Answer:

X= 17

Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)

Answer: x=17

Add 5 on both sides

x-5+5=12+5

x=17

Step-by-step explanation: Hope this helps!

If you are having a tough time with math you can use:

khanacademy,

mathnation,

and many other free sources

A true/false test has 20 questions on it. What is the probability that you get at least 18 right by purely guessing?

Answers

Answer:

I would say if your lucky 6/20 but if not 4/10

Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?

Answers

Answer:

$106

Step-by-step explanation:

So, this is what we know:

$6 per vehicle (1 bus) + $2 per person (50 people)

Here is the solution:

= $6 + $100

= $106

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Answers

cuál de los siguientes documentos es más Útil para construir carretera

If the interest earned is $96.00 at a rate of 4% for 6 years, how much principal was invested? step by step equation please ​

Answers

Wouldn’t it be $400.00
P=96/(0.04*6)=400
P=$400.00

.21 is what percent of $3.50

Answers

Answer:

6%

To find 6 percent of a number, multiply the number by 0.06. In this instance, 3.5 x 0.06 = 0.21, or twenty-one hundredths.

Step-by-step explanation:

Answer:

0.21 / 3.50 × 100%

= 21/350 × 100%

= 3/50×100%

= 3×2%

=6%

Step-by-step explanation:

brainliest plz

PLEASE HELP ITS MATH THANK YOUUUU

Answers

2m. 2 meters is the answer
The answer is 1cm = 2m

The hourly rate for a lecturer is £17.50. She works 35 hours a week and 8 hours overtime at time-and-a-half. What is her total pay for the week?​

Answers

Her total pay is 822.50

Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).

Answers

Answer:4

Step-by-step explanation:

You give an 18% tip for a meal. What expression represents the total cost with tip?

Answers

Answer:

multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Step-by-step explanation:

5n + 1/8 = 3n-5/4
Solve for n

Answers

solve for n by cross multiplying which will be n=11

Answer:

[tex]n=-\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]

[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]

[tex]2n=-\frac{11}{8}[/tex]

[tex]n=-\frac{11}{16}[/tex]

Julie bought 4,649 lemons to make lemonade for a birthday party if this number is rounded to the nearest hundred about how many lemons did Julie bought ?

I need the solving too please

Answers

Julie bought 4600 lemons

Which equation describes the sum of the vectors plotted below?
6
A. r 38 27
B. 2x+y
C. r 38 1 27
O Dr 3x Ý

Answers

Answer: [tex]A) \ 3\vec{x} -2\vec{y}[/tex]  

Step-by-step explanation:

The resultant can be calculated using triangular law of vector addition as :

[tex]\rm \vec{r}=\vec{AB} +\vec{AC}=2x+y+x-3y=\boxed{3x-2y }[/tex]

an example of an abelian group which is not cyclic

Answers

G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.  

The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm⁡(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

50 tickets need sold but only 9 have been sold what percent have been sold?

Answers

Answer:

18%

Step-by-step explanation:

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