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
weeeeeb [17]
3 years ago
9

A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can repres

ent this function.
Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0

Answer:

(x^4) - 64x

Step-by-step explanation:

zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors

x^{1} *(x-4)^{3} becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4

now to write this in standard form

x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x

You might be interested in
A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.
melisa1 [442]
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

\overline{OB}:\overline{AB} = 1:2
\overline {OB}:10 = 1:2
\overline{OB} = \frac{1}{2}(10) = 5

Similarly, we have

\overline{AO}:\overline{AB} = \sqrt{3}:2
\overline {AO}:10 = \sqrt{3}:2
\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}

Now, to find the lengths of the diagonals, 

\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}
\overline{BC} = 2(\overline{OB}) = 10

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

8 0
3 years ago
Plz answer right away
Alik [6]

Answer:

1 whole and 1 over 12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help 9/5a+12=5
vova2212 [387]
A = -35/9 is the answer
8 0
3 years ago
Please answer this correctly
brilliants [131]

5 x 3 = 15 + 1 = 16 feet

16 x 8 = 128 feet

128 / 3 = 42 yards 2 feet

Hope this helps!! :)

3 0
3 years ago
The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever reco
Softa [21]

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

C=\dfrac{5}{9}(F-32) ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C

So, the temperature on that day is 57 °C.

7 0
2 years ago
Other questions:
  • What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)
    13·1 answer
  • Anybody knows this one
    8·2 answers
  • 4) -4+5n=18+3n<br>plz help
    10·1 answer
  • Please help me under stand this question.
    8·1 answer
  • 4)Jane has a bag of marbles. In the bag there are 4 red marbles, 8 blue marbles and 5 green
    9·1 answer
  • The radius of the circle on a basketball court is 6 feet. What are the approximate circumstance and area of the circle?
    5·1 answer
  • PLEASE HELP DUE SOON!!!
    6·1 answer
  • What is (6x6) Divided by (2+7)
    13·2 answers
  • Please help, solve for x?
    13·2 answers
  • Solve: 3/4x+4=22 answer?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!