MATHEMATICS HIGH SCHOOL

How many roots does the function have?f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7


A. 21

B. 2

C. 6

D. 7

Answers

Answer 1
Answer:

Answer:

  C.  6

Step-by-step explanation:

The degree of the polynomial function is 6. The "fundamental theorem of algebra" tells you the number of roots is equal to the degree of the polynomial.

f(x) has 6 roots.

Related Questions

What is (5-sqrt of 2)(3-sqrt of 2)
The quadrilaterals JkLM and PQRS are similar.find the length x of QR.
Charlie has 298/440 points in Math class. What is his grade as a percentage?
Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)
How do you write an inequality to model this situation a number exceeds 21

Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.

Answers

Answer:

So the triangle ABC is an isosceles triangle

Step-by-step explanation:

By definition the perimeter of a triangle is equal to the sum of the lengths of its sides.

In this case we know that the perimeter is 63

The lengths of its sides depend on x.

AB = 6x\nAC = 4x + 6\nBC = 8x + 3

So:

6x + 4x + 6 + 8x + 3 = 63

Now we solve for the variable x.

6x + 4x + 6 + 8x + 3 = 63

18x + 9 = 63

18x = 54

x=(54)/(18)\n\nx=3

Therefore:

AB = 6(3)=18\nAC = 4(3)+6=18\nBC = 8(3) + 3=27

The triangle has two sides of equal length. The triangles that have two equal sides are the isosceles triangles.

So the triangle ABC is an isosceles triangle

What is the median for the set of data?
6,7,10,12,12,13

Answers

The median for this set of data is 11.

Work is provided in the image attached.
the median is 11 because to find the median you rank the numbers from least the greatest, but in this case there are two middle numbers 10 & 12, so to get the median you add 10+12=22 which equals 22 the divide it by 2 which now makes it 11. and that's you answer 

Prove that x^n-Y^n divisible by x-y for all natural numbers x,y (x!=y),and n.

Answers

Let's do that by induction :
For n=1, x^1-y^1 is obviously divisible by x-y

If we assume the property holds at rank n, then x^(n+1)-y^(n+1)=x(x^n-y^n)+y^n(x-y). Since x^n-y^n is divisible by (x-y), we have A such that x^n-y^n=A(x-y)  hence x^(n+1)-y^(n+1)=(x-y)(Ax+y^n).

Hence by induction for all n\ge1, x-y divides x^n-y^n

Write a possible recursive rule and then find a7 for { 7,12,17,22,27}

Answers

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.

Please help me mathematics​.

Answers

D ur welcome and hope this helps

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

Answers

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)
Other Questions
If one train leaves every 40 mins and another leaves every 30 mins and they both leave at 7, when is the next time they will both leave together
Question 24 Multiple Choice Worth 1 points)(8.01 MC)Two lines, A and B, are represented by equations given below:Line A: y = x - 4Line B: y = 3x + 4Which of the following shows the solution to the system of equations and explains why?0 (-3,-5), because the point satisfies one of the equations0 (-3,-5), because the point lies between the two axes(-4,-8), because the point satisfies both equations(-4, -8), because the point does not lie on any axis
What is the image of (1, -6) for a 270° counterclockwise rotation about the origin? (-1, -6)(-1, 6)(-6, -1)(6, 1)
Will mark brainliest!! solve & simplify the following equation: 2x²-7x=4​