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

Answers

Answer 1

Answer: 5th degree means highest power is 5 total

zeroes/roots are
(x-r)
so -2 is a root
(x-(-2))
(x+2) is a root
multiplicity 2 means it happens 2 times ie
(x+2)^2
e
4 is the only other zero
(x-4)

so now we have
(x-4)(x+2)^2
but that is only 3rd degreed
I could add 2 more degrees that are complex roots and therefor won't be graphed on the plane since they are complex so
find a 2nd degree polynomial that has only complex roots
a complex 2nd degree polynomial
x^2+x+10

ok so this is the function
f(x)=(x-4)(x+2)^2(x^2+x+10)

Related Questions

Which statement describes the behavior of the function f(x)=3x/4-x?a. The graph approaches –3 as x approaches infinity. b. The graph approaches 0 as x approaches infinity. c. The graph approaches 3 as x approaches infinity. d. The graph approaches 4 as x approaches infinity.
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
The principal of a small school needs a sample of 20 students, so she goes to the cafeteria and asks every fifth student in line to answer a survey. What kind of sampling is this?A. Simple random sampling B. Stratified random sampling C. Systematic sampling D. Convenience sampling
The volume of a cubical box is 10.648 cm cube. find the side of the cube.
Combs and Stratton invested $140,000 and $360,000, respectively, in a partnership. They agreed to share net income in proportion to their investments. If the partnership's net income last year was $43,500, how much was each partners share of the net income?

How do you solve for 14x+11x+10=85

Answers

Answer:

combine like terms i think

Step-by-step explanation:

Answer:

First, add the like terms (14x +11x), which equals 25x.

25x+10=85

25(3)+10=85

X=3

Step-by-step explanation:

Find the distance FG between the points F (2,7) and G (4,-1). Round your answer to the nearest tenth

Answers

Answer:

8.2

Step-by-step explanation:

The distance formula is $√((x_1 - x_2)^2 + (y_1 - y_2)^2)$

In this case, x_1 = 2, y_1 = 7, x_1 = 4, y_1 = -1.

We can plug in these values, getting $√((2-4)^2 + (7-(-1)^2) = 2√(17) = 8.2$

In a particular class of 23 students, 11 are men. What fraction of the students in the class are women?

Answers

if 11/23 are men, then the women are (23 - 11)/23 = 12/23

Please Explain This Function out for me :)
f(s) =10 (s-65)+75

Answers

most of the time it saids that s= a number.

f(s) = 10(s - 65) + 75
f(s) = 10(s) - 10(65) + 75
f(s) = 10s - 650 + 75
f(s) = 10s - 575

Is 3 yards greater or less than or equal to 21 feet

Answers

3 yards is less than 21 feet. 3 yards is 9 feet. 7 yards is 21 feet

3 yards is less than 21 feet because there are 3 feet in each yard.
3x3=9
21 feet is greater than 9 feet
Hope this helps!!!

Nick is solving the equation 3x^2=20-7x with the quadratic formula which values could He use for a, b and c

Answers

Answer:

C. a = 3

b = 7

c = -20

Step-by-step explanation:

x = -b+/- (sq) b^2 - 4ac.

Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0

S if you use your equation : 3x^2 = 20 - 7x

First you have to move everything to one side.

So it'll look like this:

3x^2 = 20 - 7x

-20 -20

3x^2 - 20 = -7x

+7x +7x

3x^2 - 20 + 7x = 0

don't forget that... Ax^2 +Bx+ C= 0

3 = A

7 = B

-20 = C

Other Questions

How do i solve this A=1/2bh for b

What is x for number 14.

Find the third iterate, x3, of the function f(x) = 3x + 5 for an initial value of x0 = 1.

Solve the following by substitution : -x + y = 10x - y = 5